19877951896320 has 864 divisors, whose sum is σ = 76329330739200. Its totient is φ = 4391378288640.

The previous prime is 19877951896301. The next prime is 19877951896337. The reversal of 19877951896320 is 2369815977891.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6025446031 + ... + 6025449329.

It is an arithmetic number, because the mean of its divisors is an integer number (88344132800).

Almost surely, 2^{19877951896320} is an apocalyptic number.

19877951896320 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 19877951896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38164665369600).

19877951896320 is an abundant number, since it is smaller than the sum of its proper divisors (56451378842880).

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

19877951896320 is a wasteful number, since it uses less digits than its factorization.

19877951896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 75.

The spelling of 19877951896320 in words is "nineteen trillion, eight hundred seventy-seven billion, nine hundred fifty-one million, eight hundred ninety-six thousand, three hundred twenty".