21940615800 has 288 divisors, whose sum is σ = 78883284480. Its totient is φ = 5661705600.

The previous prime is 21940615793. The next prime is 21940615819. The reversal of 21940615800 is 851604912.

21940615800 is a `hidden beast` number, since 2 + 19 + 4 + 0 + 61 + 580 + 0 = 666.

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, 1499319 + ... + 1513881.

Almost surely, 2^21940615800 is an apocalyptic number.

21940615800 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 21940615800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39441642240).

21940615800 is an abundant number, since it is smaller than the sum of its proper divisors (56942668680).

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

21940615800 is a wasteful number, since it uses less digits than its factorization.

21940615800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14625 (or 14604 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21940615800 in words is "twenty-one billion, nine hundred forty million, six hundred fifteen thousand, eight hundred".