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80575396704 = 25341189113281
BaseRepresentation
bin100101100001010101…
…0101111101101100000
321200222102211020220000
41023002222233231200
52310004300143304
6101003230220000
75551506400005
oct1130252575540
9250872736800
1080575396704
1131198790150
1213748654600
1377a13c7c3a
143c853598ac
152168c7b939
hex12c2aafb60

80575396704 has 480 divisors, whose sum is σ = 264669340320. Its totient is φ = 23843635200.

The previous prime is 80575396703. The next prime is 80575396751. The reversal of 80575396704 is 40769357508.

80575396704 is a `hidden beast` number, since 8 + 0 + 575 + 3 + 9 + 67 + 0 + 4 = 666.

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 (80575396703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286745044 + ... + 286745324.

It is an arithmetic number, because the mean of its divisors is an integer number (551394459).

Almost surely, 280575396704 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 80575396704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132334670160).

80575396704 is an abundant number, since it is smaller than the sum of its proper divisors (184093943616).

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

80575396704 is a wasteful number, since it uses less digits than its factorization.

80575396704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 80575396704 in words is "eighty billion, five hundred seventy-five million, three hundred ninety-six thousand, seven hundred four".