1978916296320 has 512 divisors, whose sum is σ = 7811533728000. Its totient is φ = 470527377408.

The previous prime is 1978916296297. The next prime is 1978916296327. The reversal of 1978916296320 is 236926198791.

1978916296320 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 9 + 16 + 296 + 320 = 666.

It is a super-2 number, since 2×1978916296320² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1978916296327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5404164 + ... + 5758716.

Almost surely, 2^{1978916296320} is an apocalyptic number.

1978916296320 is a gapful number since it is divisible by the number (10) 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 1978916296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905766864000).

1978916296320 is an abundant number, since it is smaller than the sum of its proper divisors (5832617431680).

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

1978916296320 is a wasteful number, since it uses less digits than its factorization.

1978916296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354617 (or 354599 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1978916296320 in words is "one trillion, nine hundred seventy-eight billion, nine hundred sixteen million, two hundred ninety-six thousand, three hundred twenty".