10155964896 has 192 divisors, whose sum is σ = 36931023360. Its totient is φ = 2637895680.

The previous prime is 10155964891. The next prime is 10155964927. The reversal of 10155964896 is 69846955101.

10155964896 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 596 + 48 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10155964891) 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 31 ways as a sum of consecutive naturals, for example, 9801 + ... + 142856.

It is an arithmetic number, because the mean of its divisors is an integer number (192349080).

Almost surely, 2^10155964896 is an apocalyptic number.

10155964896 is a gapful number since it is divisible by the number (16) 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 10155964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18465511680).

10155964896 is an abundant number, since it is smaller than the sum of its proper divisors (26775058464).

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

10155964896 is a wasteful number, since it uses less digits than its factorization.

10155964896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152694 (or 152680 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10155964896 in words is "ten billion, one hundred fifty-five million, nine hundred sixty-four thousand, eight hundred ninety-six".