22725652734000 has 2400 divisors, whose sum is σ = 95757128026560. Its totient is φ = 5162268672000.

The previous prime is 22725652733929. The next prime is 22725652734011. The reversal of 22725652734000 is 43725652722.

22725652734000 is a `hidden beast` number, since 2 + 2 + 7 + 256 + 52 + 7 + 340 + 0 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 27680453590 + ... + 27680454410.

Almost surely, 2^{22725652734000} is an apocalyptic number.

22725652734000 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 22725652734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47878564013280).

22725652734000 is an abundant number, since it is smaller than the sum of its proper divisors (73031475292560).

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

22725652734000 is a wasteful number, since it uses less digits than its factorization.

22725652734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 22725652734000 in words is "twenty-two trillion, seven hundred twenty-five billion, six hundred fifty-two million, seven hundred thirty-four thousand".