22950691061760 has 5040 divisors, whose sum is σ = 112882187077632. Its totient is φ = 4414478745600.

The previous prime is 22950691061741. The next prime is 22950691061803. The reversal of 22950691061760 is 6716019605922.

22950691061760 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 0 + 6 + 9 + 10 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×22950691061760² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22950691061697 and 22950691061706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 740344872945 + ... + 740344872975.

Almost surely, 2^{22950691061760} is an apocalyptic number.

22950691061760 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 22950691061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56441093538816).

22950691061760 is an abundant number, since it is smaller than the sum of its proper divisors (89931496015872).

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

22950691061760 is an equidigital number, since it uses as much as digits as its factorization.

22950691061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 22950691061760 in words is "twenty-two trillion, nine hundred fifty billion, six hundred ninety-one million, sixty-one thousand, seven hundred sixty".