84131062560 has 192 divisors, whose sum is σ = 296163423360. Its totient is φ = 22305070080.

The previous prime is 84131062541. The next prime is 84131062571. The reversal of 84131062560 is 6526013148.

It is a happy number.

84131062560 is a `hidden beast` number, since 8 + 4 + 1 + 31 + 0 + 62 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691075 + ... + 803645.

It is an arithmetic number, because the mean of its divisors is an integer number (1542517830).

Almost surely, 2^84131062560 is an apocalyptic number.

84131062560 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 84131062560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148081711680).

84131062560 is an abundant number, since it is smaller than the sum of its proper divisors (212032360800).

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

84131062560 is a wasteful number, since it uses less digits than its factorization.

84131062560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112768 (or 112754 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 84131062560 in words is "eighty-four billion, one hundred thirty-one million, sixty-two thousand, five hundred sixty".