21142523200 has 84 divisors (see below), whose sum is σ = 52052557312. Its totient is φ = 8452339200.

The previous prime is 21142523179. The next prime is 21142523231. The reversal of 21142523200 is 232524112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5327617 + ... + 5331583.

Almost surely, 2^21142523200 is an apocalyptic number.

21142523200 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 21142523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026278656).

21142523200 is an abundant number, since it is smaller than the sum of its proper divisors (30910034112).

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

21142523200 is a wasteful number, since it uses less digits than its factorization.

21142523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7305 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 21142523200 in words is "twenty-one billion, one hundred forty-two million, five hundred twenty-three thousand, two hundred".