80739239616000 has 2400 divisors, whose sum is σ = 368287004685600. Its totient is φ = 17482339123200.

The previous prime is 80739239615999. The next prime is 80739239616001. The reversal of 80739239616000 is 61693293708.

80739239616000 is a `hidden beast` number, since 8 + 0 + 7 + 3 + 9 + 23 + 9 + 6 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (80739239615999) and next prime (80739239616001).

It is a tau number, because it is divible by the number of its divisors (2400).

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 (80739239616001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4826295636 + ... + 4826312364.

It is an arithmetic number, because the mean of its divisors is an integer number (153452918619).

Almost surely, 2^{80739239616000} is an apocalyptic number.

80739239616000 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 80739239616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184143502342800).

80739239616000 is an abundant number, since it is smaller than the sum of its proper divisors (287547765069600).

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

80739239616000 is a wasteful number, since it uses less digits than its factorization.

80739239616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16807 (or 16765 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 80739239616000 in words is "eighty trillion, seven hundred thirty-nine billion, two hundred thirty-nine million, six hundred sixteen thousand".