22719795840 has 1024 divisors, whose sum is σ = 97387315200. Its totient is φ = 4897013760.

The previous prime is 22719795827. The next prime is 22719795907. The reversal of 22719795840 is 4859791722.

It is a super-2 number, since 2×22719795840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273732439 + ... + 273732521.

It is an arithmetic number, because the mean of its divisors is an integer number (95104800).

Almost surely, 2^22719795840 is an apocalyptic number.

22719795840 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 22719795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48693657600).

22719795840 is an abundant number, since it is smaller than the sum of its proper divisors (74667519360).

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

22719795840 is a wasteful number, since it uses less digits than its factorization.

22719795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 22719795840 in words is "twenty-two billion, seven hundred nineteen million, seven hundred ninety-five thousand, eight hundred forty".