20400925128192 has 960 divisors, whose sum is σ = 73875935637504. Its totient is φ = 5292119162880.

The previous prime is 20400925128187. The next prime is 20400925128211. The reversal of 20400925128192 is 29182152900402.

20400925128192 is a `hidden beast` number, since 2 + 0 + 40 + 0 + 9 + 2 + 512 + 8 + 1 + 92 = 666.

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, 1125435033 + ... + 1125453159.

Almost surely, 2^{20400925128192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400925128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36937967818752).

20400925128192 is an abundant number, since it is smaller than the sum of its proper divisors (53475010509312).

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

20400925128192 is a wasteful number, since it uses less digits than its factorization.

20400925128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18259 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 20400925128192 in words is "twenty trillion, four hundred billion, nine hundred twenty-five million, one hundred twenty-eight thousand, one hundred ninety-two".