10406656870920 has 448 divisors, whose sum is σ = 37013026723200. Its totient is φ = 2624859095040.

The previous prime is 10406656870913. The next prime is 10406656870937. The reversal of 10406656870920 is 2907865660401.

10406656870920 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 6 + 568 + 70 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 355124989 + ... + 355154291.

Almost surely, 2^{10406656870920} is an apocalyptic number.

10406656870920 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 10406656870920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506513361600).

10406656870920 is an abundant number, since it is smaller than the sum of its proper divisors (26606369852280).

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

10406656870920 is a wasteful number, since it uses less digits than its factorization.

10406656870920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29992 (or 29973 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 10406656870920 in words is "ten trillion, four hundred six billion, six hundred fifty-six million, eight hundred seventy thousand, nine hundred twenty".