57975148707840 has 3264 divisors, whose sum is σ = 263478127288320. Its totient is φ = 12135803387904.

The previous prime is 57975148707767. The next prime is 57975148707841. The reversal of 57975148707840 is 4870784157975.

57975148707840 is a `hidden beast` number, since 5 + 7 + 9 + 75 + 1 + 487 + 0 + 78 + 4 + 0 = 666.

It is a super-2 number, since 2×57975148707840² (a number of 28 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 not an unprimeable number, because it can be changed into a prime (57975148707841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 456497233857 + ... + 456497233983.

Almost surely, 2^{57975148707840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57975148707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131739063644160).

57975148707840 is an abundant number, since it is smaller than the sum of its proper divisors (205502978580480).

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

57975148707840 is an frugal number, since it uses more digits than its factorization.

57975148707840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 72.

The spelling of 57975148707840 in words is "fifty-seven trillion, nine hundred seventy-five billion, one hundred forty-eight million, seven hundred seven thousand, eight hundred forty".