10153897213824 has 192 divisors, whose sum is σ = 35961719670240. Its totient is φ = 2677950885888.

The previous prime is 10153897213781. The next prime is 10153897213853. The reversal of 10153897213824 is 42831279835101.

10153897213824 is a `hidden beast` number, since 1 + 0 + 1 + 538 + 9 + 7 + 21 + 3 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48324547 + ... + 48534210.

Almost surely, 2^{10153897213824} is an apocalyptic number.

10153897213824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10153897213824 is an abundant number, since it is smaller than the sum of its proper divisors (25807822456416).

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

10153897213824 is a wasteful number, since it uses less digits than its factorization.

10153897213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96858797 (or 96858782 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10153897213824 in words is "ten trillion, one hundred fifty-three billion, eight hundred ninety-seven million, two hundred thirteen thousand, eight hundred twenty-four".