981838091520 has 1440 divisors, whose sum is σ = 4218199856640. Its totient is φ = 214884679680.

The previous prime is 981838091489. The next prime is 981838091561. The reversal of 981838091520 is 25190838189.

981838091520 is a `hidden beast` number, since 9 + 81 + 8 + 38 + 0 + 9 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 696832576 + ... + 696833984.

It is an arithmetic number, because the mean of its divisors is an integer number (2929305456).

Almost surely, 2^981838091520 is an apocalyptic number.

981838091520 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 981838091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109099928320).

981838091520 is an abundant number, since it is smaller than the sum of its proper divisors (3236361765120).

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

981838091520 is a wasteful number, since it uses less digits than its factorization.

981838091520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 981838091520 in words is "nine hundred eighty-one billion, eight hundred thirty-eight million, ninety-one thousand, five hundred twenty".