21049095786480 has 560 divisors, whose sum is σ = 75194953464960. Its totient is φ = 5474706112512.

The previous prime is 21049095786401. The next prime is 21049095786493. The reversal of 21049095786480 is 8468759094012.

21049095786480 is a `hidden beast` number, since 2 + 1 + 0 + 490 + 9 + 5 + 7 + 8 + 64 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 803111616 + ... + 803137824.

It is an arithmetic number, because the mean of its divisors is an integer number (134276702616).

Almost surely, 2^{21049095786480} is an apocalyptic number.

21049095786480 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 21049095786480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37597476732480).

21049095786480 is an abundant number, since it is smaller than the sum of its proper divisors (54145857678480).

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

21049095786480 is a wasteful number, since it uses less digits than its factorization.

21049095786480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26580 (or 26559 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 21049095786480 in words is "twenty-one trillion, forty-nine billion, ninety-five million, seven hundred eighty-six thousand, four hundred eighty".