84948577937760 has 192 divisors, whose sum is σ = 267795833296320. Its totient is φ = 22635368448000.

The previous prime is 84948577937693. The next prime is 84948577937761. The reversal of 84948577937760 is 6773977584948.

It is a super-3 number, since 3×84948577937760³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84948577937761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4044967260 + ... + 4044988260.

It is an arithmetic number, because the mean of its divisors is an integer number (1394769965085).

Almost surely, 2^{84948577937760} is an apocalyptic number.

84948577937760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84948577937760 is an abundant number, since it is smaller than the sum of its proper divisors (182847255358560).

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

84948577937760 is a wasteful number, since it uses less digits than its factorization.

84948577937760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27161 (or 27153 counting only the distinct ones).

The product of its (nonzero) digits is 17923368960, while the sum is 84.

The spelling of 84948577937760 in words is "eighty-four trillion, nine hundred forty-eight billion, five hundred seventy-seven million, nine hundred thirty-seven thousand, seven hundred sixty".