22750468876800 has 3840 divisors, whose sum is σ = 103657365504000. Its totient is φ = 4877107200000.

The previous prime is 22750468876799. The next prime is 22750468876847. The reversal of 22750468876800 is 867886405722.

22750468876800 is a `hidden beast` number, since 2 + 2 + 7 + 504 + 68 + 8 + 7 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×22750468876800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 150665356725 + ... + 150665356875.

It is an arithmetic number, because the mean of its divisors is an integer number (26994105600).

Almost surely, 2^{22750468876800} is an apocalyptic number.

22750468876800 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 22750468876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51828682752000).

22750468876800 is an abundant number, since it is smaller than the sum of its proper divisors (80906896627200).

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

22750468876800 is a wasteful number, since it uses less digits than its factorization.

22750468876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 22750468876800 in words is "twenty-two trillion, seven hundred fifty billion, four hundred sixty-eight million, eight hundred seventy-six thousand, eight hundred".