557878104000 has 1120 divisors, whose sum is σ = 2440594316160. Its totient is φ = 123088896000.

The previous prime is 557878103977. The next prime is 557878104053. The reversal of 557878104000 is 401878755.

It is a happy number.

557878104000 is a `hidden beast` number, since 5 + 578 + 78 + 1 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×557878104000² (a number of 24 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 159 ways as a sum of consecutive naturals, for example, 131541880 + ... + 131546120.

It is an arithmetic number, because the mean of its divisors is an integer number (2179102068).

Almost surely, 2^557878104000 is an apocalyptic number.

557878104000 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 557878104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220297158080).

557878104000 is an abundant number, since it is smaller than the sum of its proper divisors (1882716212160).

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

557878104000 is a wasteful number, since it uses less digits than its factorization.

557878104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316 (or 4287 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 557878104000 in words is "five hundred fifty-seven billion, eight hundred seventy-eight million, one hundred four thousand".