26124147840 has 256 divisors, whose sum is σ = 95707008000. Its totient is φ = 5937328128.

The previous prime is 26124147811. The next prime is 26124147871. The reversal of 26124147840 is 4874142162.

It is a super-2 number, since 2×26124147840² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400331 + ... + 2411189.

It is an arithmetic number, because the mean of its divisors is an integer number (373855500).

Almost surely, 2^26124147840 is an apocalyptic number.

26124147840 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 26124147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47853504000).

26124147840 is an abundant number, since it is smaller than the sum of its proper divisors (69582860160).

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

26124147840 is a wasteful number, since it uses less digits than its factorization.

26124147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11067 (or 11055 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 26124147840 in words is "twenty-six billion, one hundred twenty-four million, one hundred forty-seven thousand, eight hundred forty".