26945046240 has 384 divisors, whose sum is σ = 106028310528. Its totient is φ = 5609226240.

The previous prime is 26945046217. The next prime is 26945046263. The reversal of 26945046240 is 4264054962.

It is an interprime number because it is at equal distance from previous prime (26945046217) and next prime (26945046263).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26945046192 and 26945046201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1763112 + ... + 1778328.

It is an arithmetic number, because the mean of its divisors is an integer number (276115392).

Almost surely, 2^26945046240 is an apocalyptic number.

26945046240 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 26945046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53014155264).

26945046240 is an abundant number, since it is smaller than the sum of its proper divisors (79083264288).

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

26945046240 is a wasteful number, since it uses less digits than its factorization.

26945046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 26945046240 in words is "twenty-six billion, nine hundred forty-five million, forty-six thousand, two hundred forty".