80503404008400 has 360 divisors, whose sum is σ = 294322113265440. Its totient is φ = 20320460928000.

The previous prime is 80503404008393. The next prime is 80503404008413. The reversal of 80503404008400 is 480040430508.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80282115 + ... + 81278685.

Almost surely, 2^{80503404008400} is an apocalyptic number.

80503404008400 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 80503404008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147161056632720).

80503404008400 is an abundant number, since it is smaller than the sum of its proper divisors (213818709257040).

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

80503404008400 is a wasteful number, since it uses less digits than its factorization.

80503404008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997795 (or 997781 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 80503404008400 its reverse (480040430508), we get a palindrome (80983444438908).

The spelling of 80503404008400 in words is "eighty trillion, five hundred three billion, four hundred four million, eight thousand, four hundred".