26488467720 has 1536 divisors, whose sum is σ = 118879488000. Its totient is φ = 5195612160.

The previous prime is 26488467713. The next prime is 26488467727. The reversal of 26488467720 is 2776488462.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (26488467713) and next prime (26488467727).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26488467727) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 448957051 + ... + 448957109.

It is an arithmetic number, because the mean of its divisors is an integer number (77395500).

Almost surely, 2^26488467720 is an apocalyptic number.

26488467720 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 26488467720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744000).

26488467720 is an abundant number, since it is smaller than the sum of its proper divisors (92391020280).

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

26488467720 is a wasteful number, since it uses less digits than its factorization.

26488467720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 26488467720 in words is "twenty-six billion, four hundred eighty-eight million, four hundred sixty-seven thousand, seven hundred twenty".