21244876653000 has 1536 divisors, whose sum is σ = 89902245888000. Its totient is φ = 4064442624000.

The previous prime is 21244876652981. The next prime is 21244876653017. The reversal of 21244876653000 is 35667844212.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20447426481 + ... + 20447427519.

It is an arithmetic number, because the mean of its divisors is an integer number (58530108000).

Almost surely, 2^{21244876653000} is an apocalyptic number.

21244876653000 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 21244876653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44951122944000).

21244876653000 is an abundant number, since it is smaller than the sum of its proper divisors (68657369235000).

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

21244876653000 is a wasteful number, since it uses less digits than its factorization.

21244876653000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 21244876653000 in words is "twenty-one trillion, two hundred forty-four billion, eight hundred seventy-six million, six hundred fifty-three thousand".