73057188960 has 1152 divisors, whose sum is σ = 311351040000. Its totient is φ = 15557971968.

The previous prime is 73057188923. The next prime is 73057188979. The reversal of 73057188960 is 6988175037.

73057188960 is a `hidden beast` number, since 7 + 3 + 0 + 571 + 8 + 8 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 73057188897 and 73057188906.

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, 670249386 + ... + 670249494.

It is an arithmetic number, because the mean of its divisors is an integer number (270270000).

Almost surely, 2^73057188960 is an apocalyptic number.

73057188960 is a gapful number since it is divisible by the number (70) 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 73057188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520000).

73057188960 is an abundant number, since it is smaller than the sum of its proper divisors (238293851040).

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

73057188960 is a wasteful number, since it uses less digits than its factorization.

73057188960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 73057188960 in words is "seventy-three billion, fifty-seven million, one hundred eighty-eight thousand, nine hundred sixty".