83720565290880 has 1536 divisors, whose sum is σ = 356524526592000. Its totient is φ = 18513255075840.

The previous prime is 83720565290839. The next prime is 83720565290893. The reversal of 83720565290880 is 8809256502738.

83720565290880 is a `hidden beast` number, since 8 + 3 + 7 + 20 + 5 + 6 + 529 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×83720565290880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25224633861 + ... + 25224637179.

It is an arithmetic number, because the mean of its divisors is an integer number (232112322000).

Almost surely, 2^{83720565290880} is an apocalyptic number.

83720565290880 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 83720565290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178262263296000).

83720565290880 is an abundant number, since it is smaller than the sum of its proper divisors (272803961301120).

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

83720565290880 is an equidigital number, since it uses as much as digits as its factorization.

83720565290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 83720565290880 in words is "eighty-three trillion, seven hundred twenty billion, five hundred sixty-five million, two hundred ninety thousand, eight hundred eighty".