985120156800 has 576 divisors, whose sum is σ = 3806705808360. Its totient is φ = 241134796800.

The previous prime is 985120156793. The next prime is 985120156829. The reversal of 985120156800 is 8651021589.

It is a happy number.

985120156800 is a `hidden beast` number, since 9 + 8 + 512 + 0 + 1 + 56 + 80 + 0 = 666.

985120156800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 165544824384 + 819575332416 = 406872^2 + 905304^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 67759132 + ... + 67773668.

Almost surely, 2^985120156800 is an apocalyptic number.

985120156800 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 985120156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903352904180).

985120156800 is an abundant number, since it is smaller than the sum of its proper divisors (2821585651560).

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

985120156800 is a wasteful number, since it uses less digits than its factorization.

985120156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14761 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 985120156800 in words is "nine hundred eighty-five billion, one hundred twenty million, one hundred fifty-six thousand, eight hundred".