21149436000 has 768 divisors, whose sum is σ = 88401051648. Its totient is φ = 4292352000.

The previous prime is 21149435963. The next prime is 21149436017. The reversal of 21149436000 is 63494112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43427757 + ... + 43428243.

It is an arithmetic number, because the mean of its divisors is an integer number (115105536).

Almost surely, 2^21149436000 is an apocalyptic number.

21149436000 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 21149436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44200525824).

21149436000 is an abundant number, since it is smaller than the sum of its proper divisors (67251615648).

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

21149436000 is a wasteful number, since it uses less digits than its factorization.

21149436000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 21149436000 in words is "twenty-one billion, one hundred forty-nine million, four hundred thirty-six thousand".