57514779000 has 960 divisors, whose sum is σ = 240018910560. Its totient is φ = 12802406400.

The previous prime is 57514778963. The next prime is 57514779011. The reversal of 57514779000 is 97741575.

57514779000 is a `hidden beast` number, since 575 + 1 + 4 + 7 + 79 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 170666832 + ... + 170667168.

Almost surely, 2^57514779000 is an apocalyptic number.

57514779000 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 57514779000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120009455280).

57514779000 is an abundant number, since it is smaller than the sum of its proper divisors (182504131560).

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

57514779000 is a wasteful number, since it uses less digits than its factorization.

57514779000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 45.

The spelling of 57514779000 in words is "fifty-seven billion, five hundred fourteen million, seven hundred seventy-nine thousand".