26153893440 has 896 divisors, whose sum is σ = 103416445440. Its totient is φ = 6193152000.

The previous prime is 26153893427. The next prime is 26153893459. The reversal of 26153893440 is 4439835162.

26153893440 is a `hidden beast` number, since 26 + 1 + 538 + 93 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×26153893440² (a number of 22 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 258949390 + ... + 258949490.

It is an arithmetic number, because the mean of its divisors is an integer number (115420140).

Almost surely, 2^26153893440 is an apocalyptic number.

26153893440 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 26153893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51708222720).

26153893440 is an abundant number, since it is smaller than the sum of its proper divisors (77262552000).

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

26153893440 is a wasteful number, since it uses less digits than its factorization.

26153893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 26153893440 in words is "twenty-six billion, one hundred fifty-three million, eight hundred ninety-three thousand, four hundred forty".