19923152040 has 768 divisors, whose sum is σ = 79054859520. Its totient is φ = 4459069440.

The previous prime is 19923152027. The next prime is 19923152089. The reversal of 19923152040 is 4025132991.

19923152040 is a `hidden beast` number, since 1 + 9 + 92 + 3 + 1 + 520 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19923151986 and 19923152004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176311024 + ... + 176311136.

It is an arithmetic number, because the mean of its divisors is an integer number (102936015).

Almost surely, 2^19923152040 is an apocalyptic number.

19923152040 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 19923152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39527429760).

19923152040 is an abundant number, since it is smaller than the sum of its proper divisors (59131707480).

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

19923152040 is a wasteful number, since it uses less digits than its factorization.

19923152040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 19923152040 in words is "nineteen billion, nine hundred twenty-three million, one hundred fifty-two thousand, forty".