981907557120 has 864 divisors, whose sum is σ = 4165537259520. Its totient is φ = 216682905600.

The previous prime is 981907557083. The next prime is 981907557121. The reversal of 981907557120 is 21755709189.

981907557120 is a `hidden beast` number, since 9 + 81 + 9 + 0 + 7 + 557 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (981907557121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63133345 + ... + 63148895.

It is an arithmetic number, because the mean of its divisors is an integer number (4821223680).

Almost surely, 2^981907557120 is an apocalyptic number.

981907557120 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 981907557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082768629760).

981907557120 is an abundant number, since it is smaller than the sum of its proper divisors (3183629702400).

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

981907557120 is a wasteful number, since it uses less digits than its factorization.

981907557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15623 (or 15597 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 981907557120 in words is "nine hundred eighty-one billion, nine hundred seven million, five hundred fifty-seven thousand, one hundred twenty".