981392094720 has 320 divisors, whose sum is σ = 3503730479040. Its totient is φ = 260372496384.

The previous prime is 981392094701. The next prime is 981392094737. The reversal of 981392094720 is 27490293189.

981392094720 is a `hidden beast` number, since 9 + 81 + 3 + 92 + 0 + 9 + 472 + 0 = 666.

981392094720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 13580604 + ... + 13652676.

It is an arithmetic number, because the mean of its divisors is an integer number (10949157747).

Almost surely, 2^981392094720 is an apocalyptic number.

981392094720 is a gapful number since it is divisible by the number (90) 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 981392094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751865239520).

981392094720 is an abundant number, since it is smaller than the sum of its proper divisors (2522338384320).

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

981392094720 is a wasteful number, since it uses less digits than its factorization.

981392094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72302 (or 72280 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 981392094720 in words is "nine hundred eighty-one billion, three hundred ninety-two million, ninety-four thousand, seven hundred twenty".