84653657088 has 352 divisors, whose sum is σ = 302958620160. Its totient is φ = 20295843840.

The previous prime is 84653657069. The next prime is 84653657107. The reversal of 84653657088 is 88075635648.

It is an interprime number because it is at equal distance from previous prime (84653657069) and next prime (84653657107).

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3061308 + ... + 3088836.

Almost surely, 2^84653657088 is an apocalyptic number.

84653657088 is a gapful number since it is divisible by the number (88) 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 84653657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151479310080).

84653657088 is an abundant number, since it is smaller than the sum of its proper divisors (218304963072).

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

84653657088 is a wasteful number, since it uses less digits than its factorization.

84653657088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27583 (or 27565 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 84653657088 in words is "eighty-four billion, six hundred fifty-three million, six hundred fifty-seven thousand, eighty-eight".