980875859040 has 3072 divisors, whose sum is σ = 4740548198400. Its totient is φ = 183450009600.

The previous prime is 980875859003. The next prime is 980875859053. The reversal of 980875859040 is 40958578089.

It is a happy number.

980875859040 is a `hidden beast` number, since 9 + 8 + 0 + 8 + 7 + 585 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 16625014531 + ... + 16625014589.

It is an arithmetic number, because the mean of its divisors is an integer number (1543147200).

Almost surely, 2^980875859040 is an apocalyptic number.

980875859040 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 980875859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370274099200).

980875859040 is an abundant number, since it is smaller than the sum of its proper divisors (3759672339360).

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

980875859040 is a wasteful number, since it uses less digits than its factorization.

980875859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 980875859040 in words is "nine hundred eighty billion, eight hundred seventy-five million, eight hundred fifty-nine thousand, forty".