10642193856000 has 2560 divisors, whose sum is σ = 47005585735680. Its totient is φ = 2322432000000.

The previous prime is 10642193855983. The next prime is 10642193856013. The reversal of 10642193856000 is 65839124601.

10642193856000 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 1 + 9 + 38 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×10642193856000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37872575860 + ... + 37872576140.

It is an arithmetic number, because the mean of its divisors is an integer number (18361556928).

Almost surely, 2^{10642193856000} is an apocalyptic number.

10642193856000 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 10642193856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23502792867840).

10642193856000 is an abundant number, since it is smaller than the sum of its proper divisors (36363391879680).

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

10642193856000 is a wasteful number, since it uses less digits than its factorization.

10642193856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10642193856000 in words is "ten trillion, six hundred forty-two billion, one hundred ninety-three million, eight hundred fifty-six thousand".