21507600433540 has 192 divisors, whose sum is σ = 50562433474560. Its totient is φ = 7630169702400.

The previous prime is 21507600433523. The next prime is 21507600433559. The reversal of 21507600433540 is 4533400670512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21507600433493 and 21507600433502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2230379959 + ... + 2230389601.

It is an arithmetic number, because the mean of its divisors is an integer number (263346007680).

Almost surely, 2^{21507600433540} is an apocalyptic number.

21507600433540 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 21507600433540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25281216737280).

21507600433540 is an abundant number, since it is smaller than the sum of its proper divisors (29054833041020).

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

21507600433540 is a wasteful number, since it uses less digits than its factorization.

21507600433540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 21507600433540 in words is "twenty-one trillion, five hundred seven billion, six hundred million, four hundred thirty-three thousand, five hundred forty".