978858429511680 has 672 divisors, whose sum is σ = 3528166312223280. Its totient is φ = 260528776151040.

The previous prime is 978858429511657. The next prime is 978858429511687. The reversal of 978858429511680 is 86115924858879.

978858429511680 is a `hidden beast` number, since 9 + 7 + 8 + 8 + 58 + 42 + 9 + 511 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 978858429511680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978858429511687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3904048720 + ... + 3904299440.

Almost surely, 2^{978858429511680} is an apocalyptic number.

978858429511680 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 978858429511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764083156111640).

978858429511680 is an abundant number, since it is smaller than the sum of its proper divisors (2549307882711600).

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

978858429511680 is an equidigital number, since it uses as much as digits as its factorization.

978858429511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251289 (or 251254 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 81.

The spelling of 978858429511680 in words is "nine hundred seventy-eight trillion, eight hundred fifty-eight billion, four hundred twenty-nine million, five hundred eleven thousand, six hundred eighty".