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80055153360 = 24335721383701
BaseRepresentation
bin100101010001110101…
…0001011001011010000
321122122011220011012000
41022203222023023100
52302423104401420
6100435443434000
75532561401400
oct1124352131320
9248564804160
1080055153360
1130a51057676
1213622385900
13771a6a5a40
143c36214800
152138265690
hex12a3a8b2d0

80055153360 has 960 divisors, whose sum is σ = 350100092160. Its totient is φ = 16663449600.

The previous prime is 80055153329. The next prime is 80055153377. The reversal of 80055153360 is 6335155008.

80055153360 is a `hidden beast` number, since 80 + 0 + 5 + 515 + 3 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114201010 + ... + 114201710.

It is an arithmetic number, because the mean of its divisors is an integer number (364687596).

Almost surely, 280055153360 is an apocalyptic number.

80055153360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80055153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175050046080).

80055153360 is an abundant number, since it is smaller than the sum of its proper divisors (270044938800).

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

80055153360 is a wasteful number, since it uses less digits than its factorization.

80055153360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 80055153360 in words is "eighty billion, fifty-five million, one hundred fifty-three thousand, three hundred sixty".