10054487439360 has 4032 divisors, whose sum is σ = 48130193442240. Its totient is φ = 1960716533760.

The previous prime is 10054487439343. The next prime is 10054487439361. The reversal of 10054487439360 is 6393478445001.

10054487439360 is a `hidden beast` number, since 1 + 0 + 0 + 544 + 8 + 7 + 4 + 3 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 = 10054487439297 and 10054487439306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054487439361) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 245231400940 + ... + 245231400980.

It is an arithmetic number, because the mean of its divisors is an integer number (11937051945).

Almost surely, 2^{10054487439360} is an apocalyptic number.

10054487439360 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 10054487439360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24065096721120).

10054487439360 is an abundant number, since it is smaller than the sum of its proper divisors (38075706002880).

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

10054487439360 is an equidigital number, since it uses as much as digits as its factorization.

10054487439360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 10054487439360 in words is "ten trillion, fifty-four billion, four hundred eighty-seven million, four hundred thirty-nine thousand, three hundred sixty".