19932252480 has 672 divisors, whose sum is σ = 87356655360. Its totient is φ = 4060938240.

The previous prime is 19932252451. The next prime is 19932252493. The reversal of 19932252480 is 8425223991.

19932252480 is a `hidden beast` number, since 1 + 99 + 32 + 2 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6510150 + ... + 6513210.

Almost surely, 2^19932252480 is an apocalyptic number.

19932252480 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 19932252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43678327680).

19932252480 is an abundant number, since it is smaller than the sum of its proper divisors (67424402880).

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

19932252480 is a wasteful number, since it uses less digits than its factorization.

19932252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 19932252480 in words is "nineteen billion, nine hundred thirty-two million, two hundred fifty-two thousand, four hundred eighty".