83914898088960 has 528 divisors, whose sum is σ = 301681616011776. Its totient is φ = 22366198628352.

The previous prime is 83914898088943. The next prime is 83914898089021. The reversal of 83914898088960 is 6988089841938.

83914898088960 is a `hidden beast` number, since 8 + 391 + 4 + 8 + 98 + 0 + 8 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 83914898088960.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678660817 + ... + 2678692143.

It is an arithmetic number, because the mean of its divisors is an integer number (571366696992).

Almost surely, 2^{83914898088960} is an apocalyptic number.

83914898088960 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 83914898088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150840808005888).

83914898088960 is an abundant number, since it is smaller than the sum of its proper divisors (217766717922816).

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

83914898088960 is a wasteful number, since it uses less digits than its factorization.

83914898088960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33520 (or 33490 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 81.

The spelling of 83914898088960 in words is "eighty-three trillion, nine hundred fourteen billion, eight hundred ninety-eight million, eighty-eight thousand, nine hundred sixty".