8721058993920 has 1152 divisors, whose sum is σ = 38975816140800. Its totient is φ = 1797227937792.

The previous prime is 8721058993919. The next prime is 8721058993943. The reversal of 8721058993920 is 293998501278.

8721058993920 is a `hidden beast` number, since 8 + 7 + 2 + 10 + 589 + 9 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 135201036 + ... + 135265524.

Almost surely, 2^{8721058993920} is an apocalyptic number.

8721058993920 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 8721058993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487908070400).

8721058993920 is an abundant number, since it is smaller than the sum of its proper divisors (30254757146880).

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

8721058993920 is a wasteful number, since it uses less digits than its factorization.

8721058993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64582 (or 64562 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 8721058993920 in words is "eight trillion, seven hundred twenty-one billion, fifty-eight million, nine hundred ninety-three thousand, nine hundred twenty".