21078622800 has 360 divisors, whose sum is σ = 77306684000. Its totient is φ = 5303854080.

The previous prime is 21078622777. The next prime is 21078622841. The reversal of 21078622800 is 822687012.

It is a happy number.

21078622800 is a `hidden beast` number, since 21 + 0 + 7 + 8 + 622 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23871159 + ... + 23872041.

Almost surely, 2^21078622800 is an apocalyptic number.

21078622800 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 21078622800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38653342000).

21078622800 is an abundant number, since it is smaller than the sum of its proper divisors (56228061200).

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

21078622800 is a wasteful number, since it uses less digits than its factorization.

21078622800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

It can be divided in two parts, 210786 and 22800, that added together give a triangular number (233586 = T₆₈₃).

The spelling of 21078622800 in words is "twenty-one billion, seventy-eight million, six hundred twenty-two thousand, eight hundred".