21742523340500 has 48 divisors (see below), whose sum is σ = 47494754431488. Its totient is φ = 8695345700000.

The previous prime is 21742523340481. The next prime is 21742523340511. The reversal of 21742523340500 is 504332524712.

21742523340500 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540976 + ... + 6771975.

It is an arithmetic number, because the mean of its divisors is an integer number (989474050656).

Almost surely, 2^{21742523340500} is an apocalyptic number.

21742523340500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21742523340500 is an abundant number, since it is smaller than the sum of its proper divisors (25752231090988).

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

21742523340500 is a wasteful number, since it uses less digits than its factorization.

21742523340500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8318201 (or 8318189 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 21742523340500 in words is "twenty-one trillion, seven hundred forty-two billion, five hundred twenty-three million, three hundred forty thousand, five hundred".