26063929440 has 384 divisors, whose sum is σ = 101678976000. Its totient is φ = 6196912128.

The previous prime is 26063929393. The next prime is 26063929447. The reversal of 26063929440 is 4492936062.

26063929440 is a `hidden beast` number, since 2 + 6 + 0 + 639 + 2 + 9 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26063929447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1386021 + ... + 1404699.

It is an arithmetic number, because the mean of its divisors is an integer number (264789000).

Almost surely, 2^26063929440 is an apocalyptic number.

26063929440 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 26063929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50839488000).

26063929440 is an abundant number, since it is smaller than the sum of its proper divisors (75615046560).

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

26063929440 is a wasteful number, since it uses less digits than its factorization.

26063929440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18739 (or 18725 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 26063929440 in words is "twenty-six billion, sixty-three million, nine hundred twenty-nine thousand, four hundred forty".