10642013122560 has 832 divisors, whose sum is σ = 36173670322176. Its totient is φ = 2665873408000.

The previous prime is 10642013122541. The next prime is 10642013122571. The reversal of 10642013122560 is 6522131024601.

It is a super-2 number, since 2×10642013122560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24691445545 + ... + 24691445975.

Almost surely, 2^{10642013122560} is an apocalyptic number.

10642013122560 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 10642013122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086835161088).

10642013122560 is an abundant number, since it is smaller than the sum of its proper divisors (25531657199616).

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

10642013122560 is a wasteful number, since it uses less digits than its factorization.

10642013122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10642013122560 in words is "ten trillion, six hundred forty-two billion, thirteen million, one hundred twenty-two thousand, five hundred sixty".