10249164576 has 432 divisors, whose sum is σ = 36160278336. Its totient is φ = 2845269504.

The previous prime is 10249164529. The next prime is 10249164587. The reversal of 10249164576 is 67546194201.

10249164576 is a `hidden beast` number, since 10 + 2 + 4 + 9 + 1 + 64 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14097525 + ... + 14098251.

It is an arithmetic number, because the mean of its divisors is an integer number (83704348).

Almost surely, 2^10249164576 is an apocalyptic number.

10249164576 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 10249164576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080139168).

10249164576 is an abundant number, since it is smaller than the sum of its proper divisors (25911113760).

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

10249164576 is an equidigital number, since it uses as much as digits as its factorization.

10249164576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10249164576 in words is "ten billion, two hundred forty-nine million, one hundred sixty-four thousand, five hundred seventy-six".