80721897062400 has 1344 divisors, whose sum is σ = 327534204772800. Its totient is φ = 19568944742400.

The previous prime is 80721897062381. The next prime is 80721897062447. The reversal of 80721897062400 is 426079812708.

It is a happy number.

80721897062400 is a `hidden beast` number, since 8 + 0 + 7 + 2 + 1 + 8 + 9 + 7 + 0 + 624 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7338354278395 + ... + 7338354278405.

Almost surely, 2^{80721897062400} is an apocalyptic number.

80721897062400 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 80721897062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163767102386400).

80721897062400 is an abundant number, since it is smaller than the sum of its proper divisors (246812307710400).

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

80721897062400 is an frugal number, since it uses more digits than its factorization.

80721897062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 80721897062400 in words is "eighty trillion, seven hundred twenty-one billion, eight hundred ninety-seven million, sixty-two thousand, four hundred".