21125741061600 has 432 divisors, whose sum is σ = 85414117396608. Its totient is φ = 4813008491520.

The previous prime is 21125741061563. The next prime is 21125741061631. The reversal of 21125741061600 is 616014752112.

21125741061600 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 5 + 7 + 41 + 0 + 6 + 1 + 600 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14790127 + ... + 16155473.

It is an arithmetic number, because the mean of its divisors is an integer number (197717864344).

Almost surely, 2^{21125741061600} is an apocalyptic number.

21125741061600 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 21125741061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42707058698304).

21125741061600 is an abundant number, since it is smaller than the sum of its proper divisors (64288376335008).

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

21125741061600 is a wasteful number, since it uses less digits than its factorization.

21125741061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365687 (or 1365671 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 21125741061600 in words is "twenty-one trillion, one hundred twenty-five billion, seven hundred forty-one million, sixty-one thousand, six hundred".