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55968693480 = 233257971012267
BaseRepresentation
bin110100000111111111…
…100111110011101000
312100110112222012211100
4310013333213303220
51404110441142410
641413415201400
74020646021320
oct640777476350
9170415865740
1055968693480
1121810960887
12aa1b976260
13537c4c6c0b
1429cd310280
1516c88968c0
hexd07fe7ce8

55968693480 has 384 divisors, whose sum is σ = 212199886080. Its totient is φ = 12530073600.

The previous prime is 55968693461. The next prime is 55968693493. The reversal of 55968693480 is 8439686955.

55968693480 is a `hidden beast` number, since 5 + 5 + 9 + 68 + 6 + 93 + 480 = 666.

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 95 ways as a sum of consecutive naturals, for example, 24687307 + ... + 24689573.

It is an arithmetic number, because the mean of its divisors is an integer number (552603870).

Almost surely, 255968693480 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 55968693480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106099943040).

55968693480 is an abundant number, since it is smaller than the sum of its proper divisors (156231192600).

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

55968693480 is a wasteful number, since it uses less digits than its factorization.

55968693480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 55968693480 in words is "fifty-five billion, nine hundred sixty-eight million, six hundred ninety-three thousand, four hundred eighty".