26512724420 has 96 divisors (see below), whose sum is σ = 69295564800. Its totient is φ = 8296510464.

The previous prime is 26512724419. The next prime is 26512724423. The reversal of 26512724420 is 2442721562.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (26512724423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80141 + ... + 243819.

It is an arithmetic number, because the mean of its divisors is an integer number (721828800).

Almost surely, 2^26512724420 is an apocalyptic number.

26512724420 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 26512724420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34647782400).

26512724420 is an abundant number, since it is smaller than the sum of its proper divisors (42782840380).

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

26512724420 is a wasteful number, since it uses less digits than its factorization.

26512724420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163797 (or 163795 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 26512724420 in words is "twenty-six billion, five hundred twelve million, seven hundred twenty-four thousand, four hundred twenty".