57533871616000 has 832 divisors, whose sum is σ = 158673558790656. Its totient is φ = 20692598784000.

The previous prime is 57533871615989. The next prime is 57533871616019. The reversal of 57533871616000 is 61617833575.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 110429695740 + ... + 110429696260.

It is an arithmetic number, because the mean of its divisors is an integer number (190713412008).

Almost surely, 2^{57533871616000} is an apocalyptic number.

57533871616000 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 57533871616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79336779395328).

57533871616000 is an abundant number, since it is smaller than the sum of its proper divisors (101139687174656).

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

57533871616000 is a wasteful number, since it uses less digits than its factorization.

57533871616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 57533871616000 in words is "fifty-seven trillion, five hundred thirty-three billion, eight hundred seventy-one million, six hundred sixteen thousand".