21125946240 has 1152 divisors, whose sum is σ = 92814696000. Its totient is φ = 4421910528.

The previous prime is 21125946217. The next prime is 21125946253. The reversal of 21125946240 is 4264952112.

It is a happy number.

21125946240 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 594 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21125946195 and 21125946204.

It is a congruent number.

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, 570971502 + ... + 570971538.

Almost surely, 2^21125946240 is an apocalyptic number.

21125946240 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 21125946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46407348000).

21125946240 is an abundant number, since it is smaller than the sum of its proper divisors (71688749760).

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

21125946240 is a wasteful number, since it uses less digits than its factorization.

21125946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 21125946240 in words is "twenty-one billion, one hundred twenty-five million, nine hundred forty-six thousand, two hundred forty".