83577660485760 has 640 divisors, whose sum is σ = 345427580044800. Its totient is φ = 18861642768384.

The previous prime is 83577660485659. The next prime is 83577660485771. The reversal of 83577660485760 is 6758406677538.

83577660485760 is a `hidden beast` number, since 8 + 3 + 5 + 7 + 7 + 6 + 6 + 0 + 48 + 576 + 0 = 666.

83577660485760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27209814 + ... + 30125226.

It is an arithmetic number, because the mean of its divisors is an integer number (539730593820).

Almost surely, 2^{83577660485760} is an apocalyptic number.

83577660485760 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 83577660485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172713790022400).

83577660485760 is an abundant number, since it is smaller than the sum of its proper divisors (261849919559040).

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

83577660485760 is a wasteful number, since it uses less digits than its factorization.

83577660485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915530 (or 2915509 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 83577660485760 in words is "eighty-three trillion, five hundred seventy-seven billion, six hundred sixty million, four hundred eighty-five thousand, seven hundred sixty".