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80680089600 = 21132521121447
BaseRepresentation
bin100101100100011101…
…0000111100000000000
321201020201211012112200
41023020322013200000
52310213100331400
6101021450153200
75554220306055
oct1131072074000
9251221735480
1080680089600
1131241897500
1213777722800
1377b9cc27b6
143c9520d02c
15217305bb00
hex12c8e87800

80680089600 has 648 divisors, whose sum is σ = 317818486440. Its totient is φ = 19545292800.

The previous prime is 80680089599. The next prime is 80680089613. The reversal of 80680089600 is 698008608.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55756077 + ... + 55757523.

Almost surely, 280680089600 is an apocalyptic number.

80680089600 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 80680089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158909243220).

80680089600 is an abundant number, since it is smaller than the sum of its proper divisors (237138396840).

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

80680089600 is a wasteful number, since it uses less digits than its factorization.

80680089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 80680089600 in words is "eighty billion, six hundred eighty million, eighty-nine thousand, six hundred".