26876501120 has 128 divisors (see below), whose sum is σ = 73492583040. Its totient is φ = 9207005184.

The previous prime is 26876501081. The next prime is 26876501123. The reversal of 26876501120 is 2110567862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26876501120² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26876501123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8389439 + ... + 8392641.

It is an arithmetic number, because the mean of its divisors is an integer number (574160805).

Almost surely, 2^26876501120 is an apocalyptic number.

26876501120 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 26876501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36746291520).

26876501120 is an abundant number, since it is smaller than the sum of its proper divisors (46616081920).

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

26876501120 is a wasteful number, since it uses less digits than its factorization.

26876501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 26876501120 in words is "twenty-six billion, eight hundred seventy-six million, five hundred one thousand, one hundred twenty".