26148975120 has 160 divisors (see below), whose sum is σ = 90168157440. Its totient is φ = 6965360640.

The previous prime is 26148975079. The next prime is 26148975133. The reversal of 26148975120 is 2157984162.

26148975120 is a `hidden beast` number, since 2 + 6 + 1 + 48 + 97 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2104125 + ... + 2116515.

It is an arithmetic number, because the mean of its divisors is an integer number (563550984).

Almost surely, 2^26148975120 is an apocalyptic number.

26148975120 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 26148975120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45084078720).

26148975120 is an abundant number, since it is smaller than the sum of its proper divisors (64019182320).

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

26148975120 is a wasteful number, since it uses less digits than its factorization.

26148975120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13390 (or 13378 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 26148975120 in words is "twenty-six billion, one hundred forty-eight million, nine hundred seventy-five thousand, one hundred twenty".