22551043737600 has 1728 divisors, whose sum is σ = 95769339120000. Its totient is φ = 5067856281600.

The previous prime is 22551043737581. The next prime is 22551043737601. The reversal of 22551043737600 is 673734015522.

22551043737600 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 1 + 0 + 4 + 3 + 7 + 37 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22551043737601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9641317231 + ... + 9641319569.

It is an arithmetic number, because the mean of its divisors is an integer number (55422071250).

Almost surely, 2^{22551043737600} is an apocalyptic number.

22551043737600 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 22551043737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47884669560000).

22551043737600 is an abundant number, since it is smaller than the sum of its proper divisors (73218295382400).

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

22551043737600 is a wasteful number, since it uses less digits than its factorization.

22551043737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

It can be divided in two parts, 2255104 and 3737600, that added together give a square (5992704 = 2448²).

The spelling of 22551043737600 in words is "twenty-two trillion, five hundred fifty-one billion, forty-three million, seven hundred thirty-seven thousand, six hundred".