83509801390080 has 1664 divisors, whose sum is σ = 339977402150400. Its totient is φ = 19264538935296.

The previous prime is 83509801390021. The next prime is 83509801390087. The reversal of 83509801390080 is 8009310890538.

83509801390080 is a `hidden beast` number, since 8 + 350 + 9 + 80 + 139 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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

It is a junction number, because it is equal to n+sod(n) for n = 83509801389999 and 83509801390026.

It is not an unprimeable number, because it can be changed into a prime (83509801390087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31406467791 + ... + 31406470449.

Almost surely, 2^{83509801390080} is an apocalyptic number.

83509801390080 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 83509801390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169988701075200).

83509801390080 is an abundant number, since it is smaller than the sum of its proper divisors (256467600760320).

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

83509801390080 is a wasteful number, since it uses less digits than its factorization.

83509801390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 83509801390080 in words is "eighty-three trillion, five hundred nine billion, eight hundred one million, three hundred ninety thousand, eighty".