21480703532400 has 480 divisors, whose sum is σ = 81601798864896. Its totient is φ = 4726604160000.

The previous prime is 21480703532383. The next prime is 21480703532401. The reversal of 21480703532400 is 423530708412.

It is a super-2 number, since 2×21480703532400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21480703532401) 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, 49520455 + ... + 49952345.

Almost surely, 2^{21480703532400} is an apocalyptic number.

21480703532400 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 21480703532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40800899432448).

21480703532400 is an abundant number, since it is smaller than the sum of its proper divisors (60121095332496).

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

21480703532400 is a wasteful number, since it uses less digits than its factorization.

21480703532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432141 (or 432130 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 21480703532400 in words is "twenty-one trillion, four hundred eighty billion, seven hundred three million, five hundred thirty-two thousand, four hundred".