20192732400 has 240 divisors, whose sum is σ = 66030202368. Its totient is φ = 5273472000.

The previous prime is 20192732387. The next prime is 20192732423. The reversal of 20192732400 is 423729102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22764757 + ... + 22765643.

Almost surely, 2^20192732400 is an apocalyptic number.

20192732400 is a gapful number since it is divisible by the number (20) 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 20192732400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33015101184).

20192732400 is an abundant number, since it is smaller than the sum of its proper divisors (45837469968).

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

20192732400 is a wasteful number, since it uses less digits than its factorization.

20192732400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 20192732400 in words is "twenty billion, one hundred ninety-two million, seven hundred thirty-two thousand, four hundred".