10024572096 has 672 divisors, whose sum is σ = 38360908800. Its totient is φ = 2537256960.

The previous prime is 10024572079. The next prime is 10024572101. The reversal of 10024572096 is 69027542001.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10024572096.

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 95 ways as a sum of consecutive naturals, for example, 43775310 + ... + 43775538.

Almost surely, 2^10024572096 is an apocalyptic number.

10024572096 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 10024572096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180454400).

10024572096 is an abundant number, since it is smaller than the sum of its proper divisors (28336336704).

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

10024572096 is a wasteful number, since it uses less digits than its factorization.

10024572096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10024572096 in words is "ten billion, twenty-four million, five hundred seventy-two thousand, ninety-six".