557878525013376 has 768 divisors, whose sum is σ = 1914297997248000. Its totient is φ = 158418299584512.

The previous prime is 557878525013281. The next prime is 557878525013399. The reversal of 557878525013376 is 673310525878755.

557878525013376 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 7 + 85 + 2 + 501 + 3 + 37 + 6 = 666.

It is a super-2 number, since 2×557878525013376² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 123506423470 + ... + 123506427986.

It is an arithmetic number, because the mean of its divisors is an integer number (2492575517250).

Almost surely, 2^{557878525013376} is an apocalyptic number.

557878525013376 is a gapful number since it is divisible by the number (56) 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 557878525013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957148998624000).

557878525013376 is an abundant number, since it is smaller than the sum of its proper divisors (1356419472234624).

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

557878525013376 is a wasteful number, since it uses less digits than its factorization.

557878525013376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7901 (or 7877 counting only the distinct ones).

The product of its (nonzero) digits is 1481760000, while the sum is 72.

The spelling of 557878525013376 in words is "five hundred fifty-seven trillion, eight hundred seventy-eight billion, five hundred twenty-five million, thirteen thousand, three hundred seventy-six".