10634520400 has 480 divisors, whose sum is σ = 32603270400. Its totient is φ = 3251404800.

The previous prime is 10634520397. The next prime is 10634520433. The reversal of 10634520400 is 402543601.

It is a super-2 number, since 2×10634520400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94110744 + ... + 94110856.

It is an arithmetic number, because the mean of its divisors is an integer number (67923480).

Almost surely, 2^10634520400 is an apocalyptic number.

10634520400 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 10634520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16301635200).

10634520400 is an abundant number, since it is smaller than the sum of its proper divisors (21968750000).

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

10634520400 is a wasteful number, since it uses less digits than its factorization.

10634520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 10634520400 in words is "ten billion, six hundred thirty-four million, five hundred twenty thousand, four hundred".