10156260816000 has 1536 divisors, whose sum is σ = 41690353985280. Its totient is φ = 2441340518400.

The previous prime is 10156260815977. The next prime is 10156260816019. The reversal of 10156260816000 is 61806265101.

10156260816000 is a `hidden beast` number, since 1 + 0 + 15 + 626 + 0 + 8 + 16 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2173389664 + ... + 2173394336.

Almost surely, 2^{10156260816000} is an apocalyptic number.

10156260816000 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 10156260816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845176992640).

10156260816000 is an abundant number, since it is smaller than the sum of its proper divisors (31534093169280).

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

10156260816000 is an equidigital number, since it uses as much as digits as its factorization.

10156260816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4773 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10156260816000 in words is "ten trillion, one hundred fifty-six billion, two hundred sixty million, eight hundred sixteen thousand".