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5295386880 = 28335725359
BaseRepresentation
bin1001110111010000…
…10011000100000000
3111200001012112012000
410323220103010000
541321104340010
62233242304000
7245140021500
oct47350230400
914601175160
105295386880
1122781205a3
1210394b8000
13665102a24
143833d3a00
1520ed537c0
hex13ba13100

5295386880 has 864 divisors, whose sum is σ = 22649155200. Its totient is φ = 1167409152.

The previous prime is 5295386867. The next prime is 5295386917. The reversal of 5295386880 is 886835925.

5295386880 is a `hidden beast` number, since 5 + 29 + 538 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×52953868802 = 56082244417752268800, which contains 22 as substring.

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

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, 89752291 + ... + 89752349.

It is an arithmetic number, because the mean of its divisors is an integer number (26214300).

Almost surely, 25295386880 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 5295386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324577600).

5295386880 is an abundant number, since it is smaller than the sum of its proper divisors (17353768320).

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

5295386880 is a wasteful number, since it uses less digits than its factorization.

5295386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The square root of 5295386880 is about 72769.4089573359. The cubic root of 5295386880 is about 1743.0074030750.

The spelling of 5295386880 in words is "five billion, two hundred ninety-five million, three hundred eighty-six thousand, eight hundred eighty".