10264924800 has 1152 divisors, whose sum is σ = 43977096000. Its totient is φ = 2329067520.

The previous prime is 10264924793. The next prime is 10264924823. The reversal of 10264924800 is 842946201.

10264924800 is a `hidden beast` number, since 1 + 0 + 2 + 649 + 2 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10264924800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 277430382 + ... + 277430418.

Almost surely, 2^10264924800 is an apocalyptic number.

10264924800 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 10264924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21988548000).

10264924800 is an abundant number, since it is smaller than the sum of its proper divisors (33712171200).

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

10264924800 is a wasteful number, since it uses less digits than its factorization.

10264924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 102649 and 24800, that added together give a square (127449 = 357²).

The spelling of 10264924800 in words is "ten billion, two hundred sixty-four million, nine hundred twenty-four thousand, eight hundred".