21761423712 has 576 divisors, whose sum is σ = 77051520000. Its totient is φ = 6035420160.

The previous prime is 21761423681. The next prime is 21761423713. The reversal of 21761423712 is 21732416712.

21761423712 is a `hidden beast` number, since 2 + 1 + 7 + 614 + 2 + 37 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (28224) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21761423713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109353789 + ... + 109353987.

It is an arithmetic number, because the mean of its divisors is an integer number (133770000).

Almost surely, 2^21761423712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21761423712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525760000).

21761423712 is an abundant number, since it is smaller than the sum of its proper divisors (55290096288).

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

21761423712 is an equidigital number, since it uses as much as digits as its factorization.

21761423712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 252 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 21761423712 in words is "twenty-one billion, seven hundred sixty-one million, four hundred twenty-three thousand, seven hundred twelve".