22766038567488 has 1344 divisors, whose sum is σ = 74789051051520. Its totient is φ = 6586623590400.

The previous prime is 22766038567409. The next prime is 22766038567541. The reversal of 22766038567488 is 88476583066722.

22766038567488 is a `hidden beast` number, since 2 + 2 + 7 + 6 + 6 + 0 + 3 + 85 + 67 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 131595598570 + ... + 131595598742.

Almost surely, 2^{22766038567488} 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 22766038567488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37394525525760).

22766038567488 is an abundant number, since it is smaller than the sum of its proper divisors (52023012484032).

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

22766038567488 is a wasteful number, since it uses less digits than its factorization.

22766038567488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 22766038567488 in words is "twenty-two trillion, seven hundred sixty-six billion, thirty-eight million, five hundred sixty-seven thousand, four hundred eighty-eight".