57663133302060 has 1152 divisors, whose sum is σ = 229245003187200. Its totient is φ = 11829871411200.

The previous prime is 57663133302059. The next prime is 57663133302139. The reversal of 57663133302060 is 6020333136675.

57663133302060 is a `hidden beast` number, since 5 + 7 + 6 + 631 + 3 + 3 + 3 + 0 + 2 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×57663133302060² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 57663133301997 and 57663133302015.

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, 1409939532 + ... + 1409980428.

It is an arithmetic number, because the mean of its divisors is an integer number (198997398600).

Almost surely, 2^{57663133302060} 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 57663133302060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114622501593600).

57663133302060 is an abundant number, since it is smaller than the sum of its proper divisors (171581869885140).

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

57663133302060 is a wasteful number, since it uses less digits than its factorization.

57663133302060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41020 (or 40981 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 57663133302060 in words is "fifty-seven trillion, six hundred sixty-three billion, one hundred thirty-three million, three hundred two thousand, sixty".