978448910159700 has 648 divisors, whose sum is σ = 3574873157620128. Its totient is φ = 223190529891840.

The previous prime is 978448910159683. The next prime is 978448910159731. The reversal of 978448910159700 is 7951019844879.

978448910159700 is a `hidden beast` number, since 9 + 7 + 8 + 448 + 9 + 101 + 5 + 9 + 70 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 85506322179 + ... + 85506333621.

Almost surely, 2^{978448910159700} is an apocalyptic number.

978448910159700 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 978448910159700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787436578810064).

978448910159700 is an abundant number, since it is smaller than the sum of its proper divisors (2596424247460428).

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

978448910159700 is a wasteful number, since it uses less digits than its factorization.

978448910159700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15253 (or 15236 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 978448910159700 in words is "nine hundred seventy-eight trillion, four hundred forty-eight billion, nine hundred ten million, one hundred fifty-nine thousand, seven hundred".