981153700800 has 504 divisors, whose sum is σ = 3983639780736. Its totient is φ = 207011450880.

The previous prime is 981153700771. The next prime is 981153700819. The reversal of 981153700800 is 8007351189.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5592007 + ... + 5764793.

It is an arithmetic number, because the mean of its divisors is an integer number (7904047184).

Almost surely, 2^981153700800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981153700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991819890368).

981153700800 is an abundant number, since it is smaller than the sum of its proper divisors (3002486079936).

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

981153700800 is a wasteful number, since it uses less digits than its factorization.

981153700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172845 (or 172817 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 981153700800 in words is "nine hundred eighty-one billion, one hundred fifty-three million, seven hundred thousand, eight hundred".