21086150400 has 972 divisors, whose sum is σ = 90900473664. Its totient is φ = 4644864000.

The previous prime is 21086150399. The next prime is 21086150401. The reversal of 21086150400 is 405168012.

21086150400 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 615 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21086150399) and next prime (21086150401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21086150401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 87494280 + ... + 87494520.

Almost surely, 2^21086150400 is an apocalyptic number.

21086150400 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 21086150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45450236832).

21086150400 is an abundant number, since it is smaller than the sum of its proper divisors (69814323264).

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

21086150400 is a wasteful number, since it uses less digits than its factorization.

21086150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21086150400 in words is "twenty-one billion, eighty-six million, one hundred fifty thousand, four hundred".