10562506920 has 640 divisors, whose sum is σ = 42825404160. Its totient is φ = 2284277760.

The previous prime is 10562506891. The next prime is 10562506921. The reversal of 10562506920 is 2960526501.

10562506920 is a `hidden beast` number, since 1 + 0 + 5 + 62 + 506 + 92 + 0 = 666.

It is a super-2 number, since 2×10562506920² (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 not an unprimeable number, because it can be changed into a prime (10562506921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34405407 + ... + 34405713.

It is an arithmetic number, because the mean of its divisors is an integer number (66914694).

Almost surely, 2^10562506920 is an apocalyptic number.

10562506920 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 10562506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21412702080).

10562506920 is an abundant number, since it is smaller than the sum of its proper divisors (32262897240).

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

10562506920 is a wasteful number, since it uses less digits than its factorization.

10562506920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10562506920 in words is "ten billion, five hundred sixty-two million, five hundred six thousand, nine hundred twenty".