10662425953920 has 1280 divisors, whose sum is σ = 43791390720000. Its totient is φ = 2452209500160.

The previous prime is 10662425953909. The next prime is 10662425953943. The reversal of 10662425953920 is 2935952426601.

10662425953920 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 42 + 595 + 3 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×10662425953920² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 605845281 + ... + 605862879.

It is an arithmetic number, because the mean of its divisors is an integer number (34212024000).

Almost surely, 2^{10662425953920} is an apocalyptic number.

10662425953920 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 10662425953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21895695360000).

10662425953920 is an abundant number, since it is smaller than the sum of its proper divisors (33128964766080).

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

10662425953920 is a wasteful number, since it uses less digits than its factorization.

10662425953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17703 (or 17682 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 10662425953920 in words is "ten trillion, six hundred sixty-two billion, four hundred twenty-five million, nine hundred fifty-three thousand, nine hundred twenty".