42552894456000 has 672 divisors, whose sum is σ = 166164911377920. Its totient is φ = 10750195584000.

The previous prime is 42552894455987. The next prime is 42552894456011. The reversal of 42552894456000 is 65449825524.

42552894456000 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 28 + 9 + 4 + 4 + 5 + 600 + 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 95 ways as a sum of consecutive naturals, for example, 36359965 + ... + 37512035.

It is an arithmetic number, because the mean of its divisors is an integer number (247269213360).

Almost surely, 2^{42552894456000} is an apocalyptic number.

42552894456000 is a gapful number since it is divisible by the number (40) 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 42552894456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83082455688960).

42552894456000 is an abundant number, since it is smaller than the sum of its proper divisors (123612016921920).

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

42552894456000 is a wasteful number, since it uses less digits than its factorization.

42552894456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152132 (or 1152100 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 42552894456000 in words is "forty-two trillion, five hundred fifty-two billion, eight hundred ninety-four million, four hundred fifty-six thousand".