42553253892096 has 416 divisors, whose sum is σ = 133640492469120. Its totient is φ = 13334401253376.

The previous prime is 42553253892077. The next prime is 42553253892103. The reversal of 42553253892096 is 69029835235524.

It is a happy number.

42553253892096 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 3 + 2 + 538 + 9 + 2 + 0 + 96 = 666.

It is a super-2 number, since 2×42553253892096² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1660083696 + ... + 1660109328.

It is an arithmetic number, because the mean of its divisors is an integer number (321251183820).

Almost surely, 2^{42553253892096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42553253892096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66820246234560).

42553253892096 is an abundant number, since it is smaller than the sum of its proper divisors (91087238577024).

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

42553253892096 is a wasteful number, since it uses less digits than its factorization.

42553253892096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26566 (or 26538 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 42553253892096 in words is "forty-two trillion, five hundred fifty-three billion, two hundred fifty-three million, eight hundred ninety-two thousand, ninety-six".