10508474364480 has 448 divisors, whose sum is σ = 38694262464000. Its totient is φ = 2679667752960.

The previous prime is 10508474364389. The next prime is 10508474364497. The reversal of 10508474364480 is 8446347480501.

10508474364480 is a `hidden beast` number, since 1 + 0 + 50 + 8 + 47 + 436 + 44 + 80 = 666.

It is a super-2 number, since 2×10508474364480² (a number of 27 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 1162308760 + ... + 1162317800.

Almost surely, 2^{10508474364480} is an apocalyptic number.

10508474364480 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 10508474364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347131232000).

10508474364480 is an abundant number, since it is smaller than the sum of its proper divisors (28185788099520).

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

10508474364480 is a wasteful number, since it uses less digits than its factorization.

10508474364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14939 (or 14923 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 10508474364480 in words is "ten trillion, five hundred eight billion, four hundred seventy-four million, three hundred sixty-four thousand, four hundred eighty".