80663390438400 has 3861 divisors, whose sum is σ = 383488262919237. Its totient is φ = 16761223987200.

The previous prime is 80663390438363. The next prime is 80663390438441. The reversal of 80663390438400 is 483409336608.

The square root of 80663390438400 is 8981280.

It is a perfect power (a square), and thus also a powerful number.

80663390438400 is a `hidden beast` number, since 80 + 6 + 6 + 3 + 3 + 90 + 438 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29038820557824 + 51624569880576 = 5388768^2 + 7185024^2 .

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 350 ways as a sum of consecutive naturals, for example, 7333035494395 + ... + 7333035494405.

Almost surely, 2^{80663390438400} is an apocalyptic number.

80663390438400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80663390438400 is the 8981280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80663390438400

80663390438400 is an abundant number, since it is smaller than the sum of its proper divisors (302824872480837).

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

80663390438400 is an frugal number, since it uses more digits than its factorization.

80663390438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 80663390438400 in words is "eighty trillion, six hundred sixty-three billion, three hundred ninety million, four hundred thirty-eight thousand, four hundred".