10249356624 has 120 divisors (see below), whose sum is σ = 28954084320. Its totient is φ = 3105729792.

The previous prime is 10249356571. The next prime is 10249356653. The reversal of 10249356624 is 42665394201.

It is a super-2 number, since 2×10249356624² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799307 + ... + 2802965.

It is an arithmetic number, because the mean of its divisors is an integer number (241284036).

Almost surely, 2^10249356624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10249356624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477042160).

10249356624 is an abundant number, since it is smaller than the sum of its proper divisors (18704727696).

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

10249356624 is a wasteful number, since it uses less digits than its factorization.

10249356624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 10249356624 in words is "ten billion, two hundred forty-nine million, three hundred fifty-six thousand, six hundred twenty-four".