21214550400 has 96 divisors (see below), whose sum is σ = 69875457000. Its totient is φ = 5657210880.

The previous prime is 21214550389. The next prime is 21214550449. The reversal of 21214550400 is 405541212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1095325 + ... + 1114524.

Almost surely, 2^21214550400 is an apocalyptic number.

21214550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214550400 is an abundant number, since it is smaller than the sum of its proper divisors (48660906600).

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

21214550400 is a wasteful number, since it uses less digits than its factorization.

21214550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209876 (or 2209859 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 21214550400 in words is "twenty-one billion, two hundred fourteen million, five hundred fifty thousand, four hundred".