22053404625840 has 600 divisors, whose sum is σ = 89175016964880. Its totient is φ = 5036534608896.

The previous prime is 22053404625821. The next prime is 22053404625859. The reversal of 22053404625840 is 4852640435022.

It is a happy number.

22053404625840 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 3 + 4 + 0 + 4 + 62 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22053404625821) and next prime (22053404625859).

It is a super-2 number, since 2×22053404625840² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 385123131 + ... + 385180389.

Almost surely, 2^{22053404625840} is an apocalyptic number.

22053404625840 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 22053404625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44587508482440).

22053404625840 is an abundant number, since it is smaller than the sum of its proper divisors (67121612339040).

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

22053404625840 is a wasteful number, since it uses less digits than its factorization.

22053404625840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58511 (or 58489 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 22053404625840 in words is "twenty-two trillion, fifty-three billion, four hundred four million, six hundred twenty-five thousand, eight hundred forty".