21025013513400 has 384 divisors, whose sum is σ = 82094974752000. Its totient is φ = 4902998791680.

The previous prime is 21025013513369. The next prime is 21025013513417. The reversal of 21025013513400 is 431531052012.

21025013513400 is a `hidden beast` number, since 2 + 1 + 0 + 250 + 1 + 3 + 5 + 1 + 3 + 400 = 666.

It is a super-2 number, since 2×21025013513400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6547822 + ... + 9215421.

It is an arithmetic number, because the mean of its divisors is an integer number (213788996750).

Almost surely, 2^{21025013513400} is an apocalyptic number.

21025013513400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21025013513400 is an abundant number, since it is smaller than the sum of its proper divisors (61069961238600).

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

21025013513400 is a wasteful number, since it uses less digits than its factorization.

21025013513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763300 (or 15763285 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 21025013513400 its reverse (431531052012), we get a palindrome (21456544565412).

The spelling of 21025013513400 in words is "twenty-one trillion, twenty-five billion, thirteen million, five hundred thirteen thousand, four hundred".