80007957146880 has 864 divisors, whose sum is σ = 319880155795200. Its totient is φ = 18085295554560.

The previous prime is 80007957146863. The next prime is 80007957146881. The reversal of 80007957146880 is 8864175970008.

80007957146880 is a `hidden beast` number, since 8 + 0 + 0 + 0 + 7 + 95 + 7 + 1 + 468 + 80 = 666.

80007957146880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80007957146881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3095192196 + ... + 3095218044.

It is an arithmetic number, because the mean of its divisors is an integer number (370231661800).

Almost surely, 2^{80007957146880} is an apocalyptic number.

80007957146880 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 80007957146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159940077897600).

80007957146880 is an abundant number, since it is smaller than the sum of its proper divisors (239872198648320).

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

80007957146880 is a wasteful number, since it uses less digits than its factorization.

80007957146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26307 (or 26290 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 80007957146880 in words is "eighty trillion, seven billion, nine hundred fifty-seven million, one hundred forty-six thousand, eight hundred eighty".