22590270023040 has 2048 divisors, whose sum is σ = 92817819648000. Its totient is φ = 5154684272640.

The previous prime is 22590270023029. The next prime is 22590270023063. The reversal of 22590270023040 is 4032007209522.

22590270023040 is a `hidden beast` number, since 2 + 2 + 590 + 2 + 7 + 0 + 0 + 23 + 0 + 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 = 22590270022986 and 22590270023004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23704375204 + ... + 23704376156.

It is an arithmetic number, because the mean of its divisors is an integer number (45321201000).

Almost surely, 2^{22590270023040} is an apocalyptic number.

22590270023040 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 22590270023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46408909824000).

22590270023040 is an abundant number, since it is smaller than the sum of its proper divisors (70227549624960).

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

22590270023040 is a wasteful number, since it uses less digits than its factorization.

22590270023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 22590270023040 in words is "twenty-two trillion, five hundred ninety billion, two hundred seventy million, twenty-three thousand, forty".