21158496000 has 504 divisors, whose sum is σ = 79113665904. Its totient is φ = 5636044800.

The previous prime is 21158495947. The next prime is 21158496017. The reversal of 21158496000 is 69485112.

21158496000 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 8 + 49 + 600 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23327547 + ... + 23328453.

Almost surely, 2^21158496000 is an apocalyptic number.

21158496000 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 21158496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39556832952).

21158496000 is an abundant number, since it is smaller than the sum of its proper divisors (57955169904).

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

21158496000 is an frugal number, since it uses more digits than its factorization.

21158496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 917 counting only the distinct ones).

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

The spelling of 21158496000 in words is "twenty-one billion, one hundred fifty-eight million, four hundred ninety-six thousand".