21138782290600 has 576 divisors, whose sum is σ = 57324359756160. Its totient is φ = 7203089203200.

The previous prime is 21138782290573. The next prime is 21138782290621. The reversal of 21138782290600 is 609228783112.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22321839327 + ... + 22321840273.

It is an arithmetic number, because the mean of its divisors is an integer number (99521457910).

Almost surely, 2^{21138782290600} is an apocalyptic number.

21138782290600 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 21138782290600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28662179878080).

21138782290600 is an abundant number, since it is smaller than the sum of its proper divisors (36185577465560).

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

21138782290600 is a wasteful number, since it uses less digits than its factorization.

21138782290600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 21138782290600 in words is "twenty-one trillion, one hundred thirty-eight billion, seven hundred eighty-two million, two hundred ninety thousand, six hundred".