83630159514720 has 5760 divisors, whose sum is σ = 406733380300800. Its totient is φ = 16177120727040.

The previous prime is 83630159514719. The next prime is 83630159514731. The reversal of 83630159514720 is 2741595103638.

It is a happy number.

83630159514720 is a `hidden beast` number, since 8 + 3 + 6 + 3 + 0 + 1 + 59 + 514 + 72 + 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 959 ways as a sum of consecutive naturals, for example, 2697747081105 + ... + 2697747081135.

It is an arithmetic number, because the mean of its divisors is an integer number (70613434080).

It is a 1-persistent number, because it is pandigital, but 2⋅83630159514720 = 167260319029440 is not.

Almost surely, 2^{83630159514720} is an apocalyptic number.

83630159514720 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 83630159514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203366690150400).

83630159514720 is an abundant number, since it is smaller than the sum of its proper divisors (323103220786080).

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

83630159514720 is an equidigital number, since it uses as much as digits as its factorization.

83630159514720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 83630159514720 in words is "eighty-three trillion, six hundred thirty billion, one hundred fifty-nine million, five hundred fourteen thousand, seven hundred twenty".