80215142400 has 780 divisors, whose sum is σ = 313389298200. Its totient is φ = 20225064960.

The previous prime is 80215142393. The next prime is 80215142443. The reversal of 80215142400 is 424151208.

80215142400 is a `hidden beast` number, since 8 + 0 + 215 + 1 + 42 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157593346 + ... + 157593854.

Almost surely, 2^80215142400 is an apocalyptic number.

80215142400 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 80215142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156694649100).

80215142400 is an abundant number, since it is smaller than the sum of its proper divisors (233174155800).

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

80215142400 is a wasteful number, since it uses less digits than its factorization.

80215142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 80215142400 its reverse (424151208), we get a palindrome (80639293608).

The spelling of 80215142400 in words is "eighty billion, two hundred fifteen million, one hundred forty-two thousand, four hundred".