557029080000 has 1680 divisors, whose sum is σ = 2257845258240. Its totient is φ = 130636800000.

The previous prime is 557029079989. The next prime is 557029080011. The reversal of 557029080000 is 80920755.

557029080000 is a `hidden beast` number, since 5 + 570 + 2 + 9 + 0 + 80 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (557029079989) and next prime (557029080011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7845479965 + ... + 7845480035.

Almost surely, 2^557029080000 is an apocalyptic number.

557029080000 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 557029080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128922629120).

557029080000 is an abundant number, since it is smaller than the sum of its proper divisors (1700816178240).

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

557029080000 is a wasteful number, since it uses less digits than its factorization.

557029080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 557029080000 in words is "five hundred fifty-seven billion, twenty-nine million, eighty thousand".