978511250880 has 448 divisors, whose sum is σ = 3480045465600. Its totient is φ = 258823434240.

The previous prime is 978511250861. The next prime is 978511250887. The reversal of 978511250880 is 88052115879.

978511250880 is a `hidden beast` number, since 9 + 7 + 8 + 51 + 1 + 2 + 508 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978511250887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 679993201 + ... + 679994639.

Almost surely, 2^978511250880 is an apocalyptic number.

978511250880 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 978511250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740022732800).

978511250880 is an abundant number, since it is smaller than the sum of its proper divisors (2501534214720).

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

978511250880 is a wasteful number, since it uses less digits than its factorization.

978511250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 54.

The spelling of 978511250880 in words is "nine hundred seventy-eight billion, five hundred eleven million, two hundred fifty thousand, eight hundred eighty".