80120686370400 has 1728 divisors, whose sum is σ = 325307477738880. Its totient is φ = 18490687488000.

The previous prime is 80120686370381. The next prime is 80120686370401. The reversal of 80120686370400 is 407368602108.

80120686370400 is a `hidden beast` number, since 8 + 0 + 1 + 2 + 0 + 6 + 8 + 637 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80120686370401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 107834032429 + ... + 107834033171.

It is an arithmetic number, because the mean of its divisors is an integer number (188256642210).

Almost surely, 2^{80120686370400} is an apocalyptic number.

80120686370400 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 80120686370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162653738869440).

80120686370400 is an abundant number, since it is smaller than the sum of its proper divisors (245186791368480).

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

80120686370400 is a wasteful number, since it uses less digits than its factorization.

80120686370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 80120686370400 in words is "eighty trillion, one hundred twenty billion, six hundred eighty-six million, three hundred seventy thousand, four hundred".