26929052640 has 960 divisors, whose sum is σ = 121187404800. Its totient is φ = 5482266624.

The previous prime is 26929052617. The next prime is 26929052651. The reversal of 26929052640 is 4625092962.

26929052640 is a `hidden beast` number, since 2 + 69 + 29 + 0 + 526 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29302101 + ... + 29303019.

It is an arithmetic number, because the mean of its divisors is an integer number (126236880).

Almost surely, 2^26929052640 is an apocalyptic number.

26929052640 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 26929052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60593702400).

26929052640 is an abundant number, since it is smaller than the sum of its proper divisors (94258352160).

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

26929052640 is a wasteful number, since it uses less digits than its factorization.

26929052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 26929052640 in words is "twenty-six billion, nine hundred twenty-nine million, fifty-two thousand, six hundred forty".