26721587137 has 48 divisors (see below), whose sum is σ = 33592152000. Its totient is φ = 21194110728.

The previous prime is 26721587119. The next prime is 26721587143. The reversal of 26721587137 is 73178512762.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 26721587137 - 2²³ = 26713198529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (26721587237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621432238 + ... + 621432280.

It is an arithmetic number, because the mean of its divisors is an integer number (699836500).

Almost surely, 2^26721587137 is an apocalyptic number.

It is an amenable number.

26721587137 is a deficient number, since it is larger than the sum of its proper divisors (6870564863).

26721587137 is an frugal number, since it uses more digits than its factorization.

26721587137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 69 counting only the distinct ones).

The product of its digits is 987840, while the sum is 49.

26721587137 divided by its sum of digits (49) gives a cube (545338513 = 817³).

The spelling of 26721587137 in words is "twenty-six billion, seven hundred twenty-one million, five hundred eighty-seven thousand, one hundred thirty-seven".