21048975360 has 448 divisors, whose sum is σ = 85558579200. Its totient is φ = 4809424896.

The previous prime is 21048975341. The next prime is 21048975377. The reversal of 21048975360 is 6357984012.

21048975360 is a `hidden beast` number, since 2 + 104 + 8 + 9 + 7 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7740081 + ... + 7742799.

It is a 1-persistent number, because it is pandigital, but 2⋅21048975360 = 42097950720 is not.

Almost surely, 2^21048975360 is an apocalyptic number.

21048975360 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 21048975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42779289600).

21048975360 is an abundant number, since it is smaller than the sum of its proper divisors (64509603840).

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

21048975360 is an equidigital number, since it uses as much as digits as its factorization.

21048975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 21048975360 in words is "twenty-one billion, forty-eight million, nine hundred seventy-five thousand, three hundred sixty".