10462522500 has 270 divisors, whose sum is σ = 35128263170. Its totient is φ = 2624256000.

The previous prime is 10462522489. The next prime is 10462522541. The reversal of 10462522500 is 522526401.

10462522500 is a `hidden beast` number, since 10 + 4 + 625 + 2 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 15 ways, for example, as 5890869504 + 4571652996 = 76752^2 + 67614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6501696 + ... + 6503304.

Almost surely, 2^10462522500 is an apocalyptic number.

10462522500 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 10462522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564131585).

10462522500 is an abundant number, since it is smaller than the sum of its proper divisors (24665740670).

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

10462522500 is a wasteful number, since it uses less digits than its factorization.

10462522500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10462522500 in words is "ten billion, four hundred sixty-two million, five hundred twenty-two thousand, five hundred".