21214036536400 has 60 divisors (see below), whose sum is σ = 50972183333500. Its totient is φ = 8484705469440.

The previous prime is 21214036536349. The next prime is 21214036536401. The reversal of 21214036536400 is 463563041212.

It can be written as a sum of positive squares in 6 ways, for example, as 608755731984 + 20605280804416 = 780228^2 + 4539304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21214036536400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214036536401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 903196 + ... + 6576004.

Almost surely, 2^{21214036536400} is an apocalyptic number.

21214036536400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214036536400 is an abundant number, since it is smaller than the sum of its proper divisors (29758146797100).

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

21214036536400 is a wasteful number, since it uses less digits than its factorization.

21214036536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682176 (or 5682165 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 21214036536400 its reverse (463563041212), we get a palindrome (21677599577612).

The spelling of 21214036536400 in words is "twenty-one trillion, two hundred fourteen billion, thirty-six million, five hundred thirty-six thousand, four hundred".