21532492015440 has 480 divisors, whose sum is σ = 77978563588224. Its totient is φ = 4900846325760.

The previous prime is 21532492015429. The next prime is 21532492015453. The reversal of 21532492015440 is 4451029423512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 21532492015392 and 21532492015401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4164084055 + ... + 4164089225.

Almost surely, 2^{21532492015440} is an apocalyptic number.

21532492015440 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 21532492015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38989281794112).

21532492015440 is an abundant number, since it is smaller than the sum of its proper divisors (56446071572784).

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

21532492015440 is a wasteful number, since it uses less digits than its factorization.

21532492015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6635 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 21532492015440 in words is "twenty-one trillion, five hundred thirty-two billion, four hundred ninety-two million, fifteen thousand, four hundred forty".