980849251200 has 768 divisors, whose sum is σ = 4185557107200. Its totient is φ = 196053073920.

The previous prime is 980849251199. The next prime is 980849251231. The reversal of 980849251200 is 2152948089.

980849251200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 980849251200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16568854 + ... + 16627946.

It is an arithmetic number, because the mean of its divisors is an integer number (5449944150).

Almost surely, 2^980849251200 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 980849251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092778553600).

980849251200 is an abundant number, since it is smaller than the sum of its proper divisors (3204707856000).

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

980849251200 is a wasteful number, since it uses less digits than its factorization.

980849251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59159 (or 59142 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 980849251200 in words is "nine hundred eighty billion, eight hundred forty-nine million, two hundred fifty-one thousand, two hundred".