10159972515072 has 288 divisors, whose sum is σ = 30642320217600. Its totient is φ = 3319435911168.

The previous prime is 10159972515067. The next prime is 10159972515101. The reversal of 10159972515072 is 27051527995101.

10159972515072 is a `hidden beast` number, since 1 + 0 + 1 + 59 + 9 + 7 + 2 + 515 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10159972515072² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380609758 + ... + 380636450.

It is an arithmetic number, because the mean of its divisors is an integer number (106396945200).

Almost surely, 2^{10159972515072} is an apocalyptic number.

10159972515072 is a gapful number since it is divisible by the number (12) 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 10159972515072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321160108800).

10159972515072 is an abundant number, since it is smaller than the sum of its proper divisors (20482347702528).

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

10159972515072 is a wasteful number, since it uses less digits than its factorization.

10159972515072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 54.

The spelling of 10159972515072 in words is "ten trillion, one hundred fifty-nine billion, nine hundred seventy-two million, five hundred fifteen thousand, seventy-two".