21760745580 has 240 divisors, whose sum is σ = 78232714560. Its totient is φ = 4960092672.

The previous prime is 21760745557. The next prime is 21760745597. The reversal of 21760745580 is 8554706712.

21760745580 is a `hidden beast` number, since 2 + 1 + 7 + 60 + 7 + 4 + 5 + 580 = 666.

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 79 ways as a sum of consecutive naturals, for example, 4408794 + ... + 4413726.

It is an arithmetic number, because the mean of its divisors is an integer number (325969644).

Almost surely, 2^21760745580 is an apocalyptic number.

21760745580 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 21760745580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39116357280).

21760745580 is an abundant number, since it is smaller than the sum of its proper divisors (56471968980).

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

21760745580 is a wasteful number, since it uses less digits than its factorization.

21760745580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 21760745580 in words is "twenty-one billion, seven hundred sixty million, seven hundred forty-five thousand, five hundred eighty".