21275192400 has 960 divisors, whose sum is σ = 89746636800. Its totient is φ = 4267468800.

The previous prime is 21275192383. The next prime is 21275192423. The reversal of 21275192400 is 429157212.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167521137 + ... + 167521263.

It is an arithmetic number, because the mean of its divisors is an integer number (93486080).

Almost surely, 2^21275192400 is an apocalyptic number.

21275192400 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 21275192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44873318400).

21275192400 is an abundant number, since it is smaller than the sum of its proper divisors (68471444400).

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

21275192400 is a wasteful number, since it uses less digits than its factorization.

21275192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

It can be divided in two parts, 21 and 275192400, that multiplied together give a square (5779040400 = 76020²).

The spelling of 21275192400 in words is "twenty-one billion, two hundred seventy-five million, one hundred ninety-two thousand, four hundred".