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54352585980 = 223457111719271
BaseRepresentation
bin110010100111101010…
…101010010011111100
312012021220222110010000
4302213222222103330
51342303230222410
640545204314300
73632623233540
oct624752522374
9165256873100
1054352585980
1121061688350
12a64a6a2990
1351827416a4
1428b8825a20
151631a64dc0
hexca7aaa4fc

54352585980 has 1440 divisors, whose sum is σ = 240899484672. Its totient is φ = 9928396800.

The previous prime is 54352585979. The next prime is 54352585981. The reversal of 54352585980 is 8958525345.

It is a happy number.

54352585980 is a `hidden beast` number, since 5 + 4 + 3 + 52 + 585 + 9 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54352585979) and next prime (54352585981).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54352585981) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 765529345 + ... + 765529415.

Almost surely, 254352585980 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 54352585980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120449742336).

54352585980 is an abundant number, since it is smaller than the sum of its proper divisors (186546898692).

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

54352585980 is a wasteful number, since it uses less digits than its factorization.

54352585980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 54352585980 in words is "fifty-four billion, three hundred fifty-two million, five hundred eighty-five thousand, nine hundred eighty".