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57942958080 = 213357314153
BaseRepresentation
bin110101111101101010…
…110110000000000000
312112120010220020201110
4311331222312000000
51422131344124310
642341342403320
74120611005640
oct657552660000
9175503806643
1057942958080
1122634320017
12b290b90540
135605530417
142b395ca520
151791d73d20
hexd7dab6000

57942958080 has 896 divisors, whose sum is σ = 228290420736. Its totient is φ = 12268339200.

The previous prime is 57942958069. The next prime is 57942958093. The reversal of 57942958080 is 8085924975.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 57942958080.

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, 1093263334 + ... + 1093263386.

It is an arithmetic number, because the mean of its divisors is an integer number (254788416).

Almost surely, 257942958080 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 57942958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114145210368).

57942958080 is an abundant number, since it is smaller than the sum of its proper divisors (170347462656).

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

57942958080 is a wasteful number, since it uses less digits than its factorization.

57942958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 57942958080 in words is "fifty-seven billion, nine hundred forty-two million, nine hundred fifty-eight thousand, eighty".