21870501120 has 288 divisors, whose sum is σ = 83581612800. Its totient is φ = 5383397376.

The previous prime is 21870501113. The next prime is 21870501131. The reversal of 21870501120 is 2110507812.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424941 + ... + 473619.

Almost surely, 2^21870501120 is an apocalyptic number.

21870501120 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 21870501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41790806400).

21870501120 is an abundant number, since it is smaller than the sum of its proper divisors (61711111680).

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

21870501120 is a wasteful number, since it uses less digits than its factorization.

21870501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48722 (or 48702 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The spelling of 21870501120 in words is "twenty-one billion, eight hundred seventy million, five hundred one thousand, one hundred twenty".