57075876469500 has 1152 divisors, whose sum is σ = 205295969249280. Its totient is φ = 12260524953600.

The previous prime is 57075876469471. The next prime is 57075876469583. The reversal of 57075876469500 is 596467857075.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39119859771 + ... + 39119861229.

It is an arithmetic number, because the mean of its divisors is an integer number (178208306640).

Almost surely, 2^{57075876469500} is an apocalyptic number.

57075876469500 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 57075876469500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102647984624640).

57075876469500 is an abundant number, since it is smaller than the sum of its proper divisors (148220092779780).

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

57075876469500 is a wasteful number, since it uses less digits than its factorization.

57075876469500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 444528000, while the sum is 69.

The spelling of 57075876469500 in words is "fifty-seven trillion, seventy-five billion, eight hundred seventy-six million, four hundred sixty-nine thousand, five hundred".