22503129737928 has 384 divisors, whose sum is σ = 67309487308800. Its totient is φ = 6248171091456.

The previous prime is 22503129737849. The next prime is 22503129737929. The reversal of 22503129737928 is 82973792130522.

It is not an unprimeable number, because it can be changed into a prime (22503129737929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4927330701 + ... + 4927335267.

It is an arithmetic number, because the mean of its divisors is an integer number (175285123200).

Almost surely, 2^{22503129737928} is an apocalyptic number.

22503129737928 is a gapful number since it is divisible by the number (28) 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 22503129737928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33654743654400).

22503129737928 is an abundant number, since it is smaller than the sum of its proper divisors (44806357570872).

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

22503129737928 is a wasteful number, since it uses less digits than its factorization.

22503129737928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 22503129737928 in words is "twenty-two trillion, five hundred three billion, one hundred twenty-nine million, seven hundred thirty-seven thousand, nine hundred twenty-eight".