26872521120 has 480 divisors, whose sum is σ = 98671136256. Its totient is φ = 6880204800.

The previous prime is 26872521101. The next prime is 26872521121. The reversal of 26872521120 is 2112527862.

It is a happy number.

26872521120 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 2 + 521 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26872521121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 84771202 + ... + 84771518.

Almost surely, 2^26872521120 is an apocalyptic number.

26872521120 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 26872521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49335568128).

26872521120 is an abundant number, since it is smaller than the sum of its proper divisors (71798615136).

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

26872521120 is a wasteful number, since it uses less digits than its factorization.

26872521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 26872521120 in words is "twenty-six billion, eight hundred seventy-two million, five hundred twenty-one thousand, one hundred twenty".