22002590649600 has 1080 divisors, whose sum is σ = 91810398445920. Its totient is φ = 5149992960000.

The previous prime is 22002590649511. The next prime is 22002590649601. The reversal of 22002590649600 is 694609520022.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×22002590649600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002590649601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 165303075 + ... + 165436125.

Almost surely, 2^{22002590649600} is an apocalyptic number.

22002590649600 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 22002590649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45905199222960).

22002590649600 is an abundant number, since it is smaller than the sum of its proper divisors (69807807796320).

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

22002590649600 is a wasteful number, since it uses less digits than its factorization.

22002590649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133129 (or 133101 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22002590649600 in words is "twenty-two trillion, two billion, five hundred ninety million, six hundred forty-nine thousand, six hundred".