26996613120 has 560 divisors, whose sum is σ = 98958562560. Its totient is φ = 7038959616.

The previous prime is 26996613079. The next prime is 26996613121. The reversal of 26996613120 is 2131669962.

26996613120 is a `hidden beast` number, since 2 + 6 + 9 + 9 + 6 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×26996613120² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (26996613121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262102989 + ... + 262103091.

Almost surely, 2^26996613120 is an apocalyptic number.

26996613120 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 26996613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49479281280).

26996613120 is an abundant number, since it is smaller than the sum of its proper divisors (71961949440).

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

26996613120 is an equidigital number, since it uses as much as digits as its factorization.

26996613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 26996613120 in words is "twenty-six billion, nine hundred ninety-six million, six hundred thirteen thousand, one hundred twenty".