10172531034960 has 320 divisors, whose sum is σ = 37395272263680. Its totient is φ = 2238186424320.

The previous prime is 10172531034947. The next prime is 10172531034961. The reversal of 10172531034960 is 6943013527101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172531034961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15810919 + ... + 16441721.

It is an arithmetic number, because the mean of its divisors is an integer number (116860225824).

Almost surely, 2^{10172531034960} is an apocalyptic number.

10172531034960 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 10172531034960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697636131840).

10172531034960 is an abundant number, since it is smaller than the sum of its proper divisors (27222741228720).

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

10172531034960 is a wasteful number, since it uses less digits than its factorization.

10172531034960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631186 (or 631180 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 10172531034960 in words is "ten trillion, one hundred seventy-two billion, five hundred thirty-one million, thirty-four thousand, nine hundred sixty".