83741312025504 has 1152 divisors, whose sum is σ = 306232927064064. Its totient is φ = 21152710656000.

The previous prime is 83741312025493. The next prime is 83741312025593. The reversal of 83741312025504 is 40552021314738.

83741312025504 is a `hidden beast` number, since 8 + 3 + 7 + 4 + 13 + 120 + 2 + 5 + 504 = 666.

83741312025504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 83741312025504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18121900314 + ... + 18121904934.

It is an arithmetic number, because the mean of its divisors is an integer number (265827193632).

Almost surely, 2^{83741312025504} is an apocalyptic number.

83741312025504 is a gapful number since it is divisible by the number (84) 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 83741312025504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153116463532032).

83741312025504 is an abundant number, since it is smaller than the sum of its proper divisors (222491615038560).

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

83741312025504 is a wasteful number, since it uses less digits than its factorization.

83741312025504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 83741312025504 in words is "eighty-three trillion, seven hundred forty-one billion, three hundred twelve million, twenty-five thousand, five hundred four".