978419353242600 has 120 divisors (see below), whose sum is σ = 3398195364883110. Its totient is φ = 260911827527040.

The previous prime is 978419353242593. The next prime is 978419353242613. The reversal of 978419353242600 is 6242353914879.

978419353242600 is a `hidden beast` number, since 9 + 7 + 8 + 4 + 1 + 93 + 532 + 4 + 2 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 662259446297604 + 316159906944996 = 25734402^2 + 17780886^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30198111987 + ... + 30198144386.

It is a 2-persistent number, because it is pandigital, and so is 2⋅978419353242600 = 1956838706485200, but 3⋅978419353242600 = 2935258059727800 is not.

Almost surely, 2^{978419353242600} is an apocalyptic number.

978419353242600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

978419353242600 is an abundant number, since it is smaller than the sum of its proper divisors (2419776011640510).

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

978419353242600 is a wasteful number, since it uses less digits than its factorization.

978419353242600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60396256401 (or 60396256383 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 978419353242600 in words is "nine hundred seventy-eight trillion, four hundred nineteen billion, three hundred fifty-three million, two hundred forty-two thousand, six hundred".