83997516240 has 320 divisors, whose sum is σ = 316001203200. Its totient is φ = 20338905600.

The previous prime is 83997516227. The next prime is 83997516263. The reversal of 83997516240 is 4261579938.

83997516240 is a `hidden beast` number, since 8 + 3 + 9 + 9 + 7 + 5 + 1 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27821451 + ... + 27824469.

It is an arithmetic number, because the mean of its divisors is an integer number (987503760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅83997516240 = 167995032480, but 3⋅83997516240 = 251992548720 is not.

Almost surely, 2^83997516240 is an apocalyptic number.

83997516240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83997516240 is the 144912-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83997516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158000601600).

83997516240 is an abundant number, since it is smaller than the sum of its proper divisors (232003686960).

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

83997516240 is a wasteful number, since it uses less digits than its factorization.

83997516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 83997516240 in words is "eighty-three billion, nine hundred ninety-seven million, five hundred sixteen thousand, two hundred forty".