80546486400 has 384 divisors, whose sum is σ = 295391510400. Its totient is φ = 21434388480.

The previous prime is 80546486393. The next prime is 80546486401. The reversal of 80546486400 is 468464508.

80546486400 is a `hidden beast` number, since 8 + 0 + 546 + 48 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (80546486401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75772269 + ... + 75773331.

It is an arithmetic number, because the mean of its divisors is an integer number (769248725).

Almost surely, 2^80546486400 is an apocalyptic number.

80546486400 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 80546486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147695755200).

80546486400 is an abundant number, since it is smaller than the sum of its proper divisors (214845024000).

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

80546486400 is a wasteful number, since it uses less digits than its factorization.

80546486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 80546486400 in words is "eighty billion, five hundred forty-six million, four hundred eighty-six thousand, four hundred".