57146544000 has 1536 divisors, whose sum is σ = 260638560000. Its totient is φ = 11921817600.

The previous prime is 57146543999. The next prime is 57146544029. The reversal of 57146544000 is 44564175.

57146544000 is a `hidden beast` number, since 5 + 71 + 46 + 544 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×57146544000² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 642095956 + ... + 642096044.

Almost surely, 2^57146544000 is an apocalyptic number.

57146544000 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 57146544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280000).

57146544000 is an abundant number, since it is smaller than the sum of its proper divisors (203492016000).

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

57146544000 is a wasteful number, since it uses less digits than its factorization.

57146544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 57146544000 in words is "fifty-seven billion, one hundred forty-six million, five hundred forty-four thousand".