22680071580672 has 1056 divisors, whose sum is σ = 75587570472960. Its totient is φ = 6734946631680.

The previous prime is 22680071580643. The next prime is 22680071580703. The reversal of 22680071580672 is 27608517008622.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 44558097154 + ... + 44558097662.

Almost surely, 2^{22680071580672} is an apocalyptic number.

22680071580672 is a gapful number since it is divisible by the number (22) 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 22680071580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37793785236480).

22680071580672 is an abundant number, since it is smaller than the sum of its proper divisors (52907498892288).

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

22680071580672 is a wasteful number, since it uses less digits than its factorization.

22680071580672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 22680071580672 in words is "twenty-two trillion, six hundred eighty billion, seventy-one million, five hundred eighty thousand, six hundred seventy-two".