21116878848000 has 2352 divisors, whose sum is σ = 90110417722416. Its totient is φ = 4892236185600.

The previous prime is 21116878847947. The next prime is 21116878848049. The reversal of 21116878848000 is 84887861112.

21116878848000 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 6 + 87 + 88 + 480 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7797765832704 + 13319113015296 = 2792448^2 + 3649536^2 .

It is a super-2 number, since 2×21116878848000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1242169343992 + ... + 1242169344008.

It is an arithmetic number, because the mean of its divisors is an integer number (38312252433).

Almost surely, 2^{21116878848000} is an apocalyptic number.

21116878848000 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 21116878848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45055208861208).

21116878848000 is an abundant number, since it is smaller than the sum of its proper divisors (68993538874416).

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

21116878848000 is an frugal number, since it uses more digits than its factorization.

21116878848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 21116878848000 in words is "twenty-one trillion, one hundred sixteen billion, eight hundred seventy-eight million, eight hundred forty-eight thousand".