978136560000 has 800 divisors, whose sum is σ = 3657460862880. Its totient is φ = 259407360000.

The previous prime is 978136559987. The next prime is 978136560043. The reversal of 978136560000 is 65631879.

It is a happy number.

978136560000 is a `hidden beast` number, since 9 + 7 + 8 + 1 + 36 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×978136560000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1756079722 + ... + 1756080278.

Almost surely, 2^978136560000 is an apocalyptic number.

978136560000 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 978136560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828730431440).

978136560000 is an abundant number, since it is smaller than the sum of its proper divisors (2679324302880).

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

978136560000 is an equidigital number, since it uses as much as digits as its factorization.

978136560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 978136560000 in words is "nine hundred seventy-eight billion, one hundred thirty-six million, five hundred sixty thousand".