10473632058960 has 960 divisors, whose sum is σ = 42744007065600. Its totient is φ = 2349708383232.

The previous prime is 10473632058943. The next prime is 10473632058977. The reversal of 10473632058960 is 6985023637401.

10473632058960 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 36 + 3 + 20 + 589 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10473632058943) and next prime (10473632058977).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10473632058897 and 10473632058906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6787835949 + ... + 6787837491.

It is an arithmetic number, because the mean of its divisors is an integer number (44525007360).

It is a 1-persistent number, because it is pandigital, but 2⋅10473632058960 = 20947264117920 is not.

Almost surely, 2^{10473632058960} is an apocalyptic number.

10473632058960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10473632058960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21372003532800).

10473632058960 is an abundant number, since it is smaller than the sum of its proper divisors (32270375006640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10473632058960 is a wasteful number, since it uses less digits than its factorization.

10473632058960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10473632058960 in words is "ten trillion, four hundred seventy-three billion, six hundred thirty-two million, fifty-eight thousand, nine hundred sixty".