10156464000 has 384 divisors, whose sum is σ = 36750036960. Its totient is φ = 2688000000.

The previous prime is 10156463981. The next prime is 10156464011. The reversal of 10156464000 is 46465101.

10156464000 is a `hidden beast` number, since 1 + 0 + 15 + 6 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36143860 + ... + 36144140.

Almost surely, 2^10156464000 is an apocalyptic number.

10156464000 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 10156464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18375018480).

10156464000 is an abundant number, since it is smaller than the sum of its proper divisors (26593572960).

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

10156464000 is a wasteful number, since it uses less digits than its factorization.

10156464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10156464000 in words is "ten billion, one hundred fifty-six million, four hundred sixty-four thousand".