57661053552000 has 512 divisors, whose sum is σ = 212551700400000. Its totient is φ = 15364203724800.

The previous prime is 57661053551921. The next prime is 57661053552023. The reversal of 57661053552000 is 25535016675.

57661053552000 is a `hidden beast` number, since 5 + 7 + 6 + 61 + 0 + 535 + 52 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×57661053552000² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 556796226 + ... + 556899774.

Almost surely, 2^{57661053552000} is an apocalyptic number.

57661053552000 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 57661053552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106275850200000).

57661053552000 is an abundant number, since it is smaller than the sum of its proper divisors (154890646848000).

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

57661053552000 is a wasteful number, since it uses less digits than its factorization.

57661053552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104876 (or 104848 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

Adding to 57661053552000 its reverse (25535016675), we get a palindrome (57686588568675).

The spelling of 57661053552000 in words is "fifty-seven trillion, six hundred sixty-one billion, fifty-three million, five hundred fifty-two thousand".