83813504100480 has 3840 divisors, whose sum is σ = 392782195353600. Its totient is φ = 16284660940800.

The previous prime is 83813504100467. The next prime is 83813504100523. The reversal of 83813504100480 is 8400140531838.

83813504100480 is a `hidden beast` number, since 8 + 3 + 8 + 13 + 50 + 4 + 100 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 309274922745 + ... + 309274923015.

It is an arithmetic number, because the mean of its divisors is an integer number (102287030040).

Almost surely, 2^{83813504100480} is an apocalyptic number.

83813504100480 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 83813504100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196391097676800).

83813504100480 is an abundant number, since it is smaller than the sum of its proper divisors (308968691253120).

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

83813504100480 is a wasteful number, since it uses less digits than its factorization.

83813504100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 83813504100480 in words is "eighty-three trillion, eight hundred thirteen billion, five hundred four million, one hundred thousand, four hundred eighty".