21048496560 has 960 divisors, whose sum is σ = 92276760576. Its totient is φ = 4180377600.

The previous prime is 21048496543. The next prime is 21048496577. The reversal of 21048496560 is 6569484012.

21048496560 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 84 + 9 + 6 + 560 = 666.

It is a Cunningham number, because it is equal to 145081²-1.

It is an interprime number because it is at equal distance from previous prime (21048496543) and next prime (21048496577).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87338040 + ... + 87338280.

Almost surely, 2^21048496560 is an apocalyptic number.

21048496560 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 21048496560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46138380288).

21048496560 is an abundant number, since it is smaller than the sum of its proper divisors (71228264016).

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

21048496560 is a wasteful number, since it uses less digits than its factorization.

21048496560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21048496560 in words is "twenty-one billion, forty-eight million, four hundred ninety-six thousand, five hundred sixty".