21835120497660 has 120 divisors (see below), whose sum is σ = 68520792651696. Its totient is φ = 5820725733120.

The previous prime is 21835120497637. The next prime is 21835120497667. The reversal of 21835120497660 is 6679402153812.

It is a happy number.

21835120497660 is a `hidden beast` number, since 2 + 1 + 83 + 5 + 12 + 0 + 497 + 6 + 60 = 666.

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 = 21835120497597 and 21835120497606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21835120497667) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2501695 + ... + 7066025.

It is a 1-persistent number, because it is pandigital, but 2⋅21835120497660 = 43670240995320 is not.

Almost surely, 2^{21835120497660} is an apocalyptic number.

21835120497660 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 21835120497660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34260396325848).

21835120497660 is an abundant number, since it is smaller than the sum of its proper divisors (46685672154036).

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

21835120497660 is a wasteful number, since it uses less digits than its factorization.

21835120497660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567305 (or 4567294 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 21835120497660 in words is "twenty-one trillion, eight hundred thirty-five billion, one hundred twenty million, four hundred ninety-seven thousand, six hundred sixty".