83888730240 has 128 divisors (see below), whose sum is σ = 305594709120. Its totient is φ = 19174563840.

The previous prime is 83888730227. The next prime is 83888730253. The reversal of 83888730240 is 4203788838.

It is an interprime number because it is at equal distance from previous prime (83888730227) and next prime (83888730253).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×83888730240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3107421 + ... + 3134300.

It is an arithmetic number, because the mean of its divisors is an integer number (2387458665).

Almost surely, 2^83888730240 is an apocalyptic number.

83888730240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83888730240 is an abundant number, since it is smaller than the sum of its proper divisors (221705978880).

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

83888730240 is a wasteful number, since it uses less digits than its factorization.

83888730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241750 (or 6241738 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 83888730240 in words is "eighty-three billion, eight hundred eighty-eight million, seven hundred thirty thousand, two hundred forty".