26146233540 has 384 divisors, whose sum is σ = 96927667200. Its totient is φ = 5724794880.

The previous prime is 26146233523. The next prime is 26146233541. The reversal of 26146233540 is 4533264162.

26146233540 is a `hidden beast` number, since 2 + 614 + 6 + 2 + 3 + 35 + 4 + 0 = 666.

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 = 26146233495 and 26146233504.

It is not an unprimeable number, because it can be changed into a prime (26146233541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15017070 + ... + 15018810.

It is an arithmetic number, because the mean of its divisors is an integer number (252415800).

Almost surely, 2^26146233540 is an apocalyptic number.

26146233540 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 26146233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48463833600).

26146233540 is an abundant number, since it is smaller than the sum of its proper divisors (70781433660).

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

26146233540 is a wasteful number, since it uses less digits than its factorization.

26146233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 26146233540 in words is "twenty-six billion, one hundred forty-six million, two hundred thirty-three thousand, five hundred forty".