21775046400 has 216 divisors, whose sum is σ = 79847510960. Its totient is φ = 5806632960.

The previous prime is 21775046393. The next prime is 21775046407. The reversal of 21775046400 is 464057712.

21775046400 is a `hidden beast` number, since 2 + 1 + 7 + 7 + 5 + 0 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21775046393) and next prime (21775046407).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21775046407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109794 + ... + 235806.

Almost surely, 2^21775046400 is an apocalyptic number.

21775046400 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 21775046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39923755480).

21775046400 is an abundant number, since it is smaller than the sum of its proper divisors (58072464560).

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

21775046400 is a wasteful number, since it uses less digits than its factorization.

21775046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126048 (or 126023 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 21775046400 in words is "twenty-one billion, seven hundred seventy-five million, forty-six thousand, four hundred".