26452146240 has 896 divisors, whose sum is σ = 106181591040. Its totient is φ = 6154444800.

The previous prime is 26452146239. The next prime is 26452146277. The reversal of 26452146240 is 4264125462.

26452146240 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 21 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×26452146240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26452146195 and 26452146204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247216267 + ... + 247216373.

It is an arithmetic number, because the mean of its divisors is an integer number (118506240).

Almost surely, 2^26452146240 is an apocalyptic number.

26452146240 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 26452146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090795520).

26452146240 is an abundant number, since it is smaller than the sum of its proper divisors (79729444800).

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

26452146240 is a wasteful number, since it uses less digits than its factorization.

26452146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 26452146240 in words is "twenty-six billion, four hundred fifty-two million, one hundred forty-six thousand, two hundred forty".