26515200768 has 288 divisors, whose sum is σ = 86131347456. Its totient is φ = 7076450304.

The previous prime is 26515200749. The next prime is 26515200769. The reversal of 26515200768 is 86700251562.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26515200769) 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, 5314371 + ... + 5319357.

Almost surely, 2^26515200768 is an apocalyptic number.

26515200768 is a gapful number since it is divisible by the number (28) 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 26515200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43065673728).

26515200768 is an abundant number, since it is smaller than the sum of its proper divisors (59616146688).

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

26515200768 is a wasteful number, since it uses less digits than its factorization.

26515200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 26515200768 in words is "twenty-six billion, five hundred fifteen million, two hundred thousand, seven hundred sixty-eight".