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57220197914880 = 2834572111379997
BaseRepresentation
bin11010000001010100111011…
…00100100001100100000000
321111121012022222100022110000
431000222131210201210000
524444443431131234010
6321410332424240000
715024010563163500
oct1500523544414400
9244535288308400
1057220197914880
1117260a49aa4a70
1265017a8610000
1325c0ac2a4c5a0
14101b688205a00
15693666ae57c0
hex340a9d921900

57220197914880 has 4320 divisors, whose sum is σ = 283636544970240. Its totient is φ = 10825505832960.

The previous prime is 57220197914783. The next prime is 57220197914899. The reversal of 57220197914880 is 8841979102275.

57220197914880 is a `hidden beast` number, since 5 + 7 + 220 + 197 + 9 + 148 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 57392374542 + ... + 57392375538.

It is an arithmetic number, because the mean of its divisors is an integer number (65656607632).

Almost surely, 257220197914880 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 57220197914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141818272485120).

57220197914880 is an abundant number, since it is smaller than the sum of its proper divisors (226416347055360).

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

57220197914880 is a wasteful number, since it uses less digits than its factorization.

57220197914880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 57220197914880 in words is "fifty-seven trillion, two hundred twenty billion, one hundred ninety-seven million, nine hundred fourteen thousand, eight hundred eighty".