53873071005600 has 5184 divisors, whose sum is σ = 263987753702400. Its totient is φ = 10032021504000.

The previous prime is 53873071005599. The next prime is 53873071005653. The reversal of 53873071005600 is 650017037835.

53873071005600 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 30 + 7 + 1 + 0 + 0 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 387576050331 + ... + 387576050469.

It is an arithmetic number, because the mean of its divisors is an integer number (50923563600).

Almost surely, 2^{53873071005600} is an apocalyptic number.

53873071005600 is a gapful number since it is divisible by the number (50) 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 53873071005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131993876851200).

53873071005600 is an abundant number, since it is smaller than the sum of its proper divisors (210114682696800).

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

53873071005600 is a wasteful number, since it uses less digits than its factorization.

53873071005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 53873071005600 in words is "fifty-three trillion, eight hundred seventy-three billion, seventy-one million, five thousand, six hundred".