21949201560 has 480 divisors, whose sum is σ = 80601015600. Its totient is φ = 4753267200.

The previous prime is 21949201559. The next prime is 21949201577. The reversal of 21949201560 is 6510294912.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 708038745 + ... + 708038775.

Almost surely, 2^21949201560 is an apocalyptic number.

21949201560 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 21949201560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40300507800).

21949201560 is an abundant number, since it is smaller than the sum of its proper divisors (58651814040).

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

21949201560 is a wasteful number, since it uses less digits than its factorization.

21949201560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 21949201560 in words is "twenty-one billion, nine hundred forty-nine million, two hundred one thousand, five hundred sixty".