87723099360 has 384 divisors, whose sum is σ = 331277506560. Its totient is φ = 21552334848.

The previous prime is 87723099337. The next prime is 87723099371. The reversal of 87723099360 is 6399032778.

It is a super-2 number, since 2×87723099360² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 87723099297 and 87723099306.

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, 38356137 + ... + 38358423.

It is an arithmetic number, because the mean of its divisors is an integer number (862701840).

Almost surely, 2^87723099360 is an apocalyptic number.

87723099360 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 87723099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165638753280).

87723099360 is an abundant number, since it is smaller than the sum of its proper divisors (243554407200).

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

87723099360 is a wasteful number, since it uses less digits than its factorization.

87723099360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 87723099360 in words is "eighty-seven billion, seven hundred twenty-three million, ninety-nine thousand, three hundred sixty".