10172431910016 has 384 divisors, whose sum is σ = 32286568204800. Its totient is φ = 3177003368448.

The previous prime is 10172431909993. The next prime is 10172431910159. The reversal of 10172431910016 is 61001913427101.

10172431910016 is a `hidden beast` number, since 101 + 7 + 2 + 431 + 9 + 100 + 16 = 666.

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

It is a super-2 number, since 2×10172431910016² (a number of 27 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117872130 + ... + 117958398.

It is an arithmetic number, because the mean of its divisors is an integer number (84079604700).

Almost surely, 2^{10172431910016} is an apocalyptic number.

10172431910016 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 10172431910016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16143284102400).

10172431910016 is an abundant number, since it is smaller than the sum of its proper divisors (22114136294784).

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

10172431910016 is an equidigital number, since it uses as much as digits as its factorization.

10172431910016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86538 (or 86514 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10172431910016 in words is "ten trillion, one hundred seventy-two billion, four hundred thirty-one million, nine hundred ten thousand, sixteen".