26435382480 has 320 divisors, whose sum is σ = 103222560000. Its totient is φ = 6164563968.

The previous prime is 26435382469. The next prime is 26435382539. The reversal of 26435382480 is 8428353462.

26435382480 is a `hidden beast` number, since 2 + 6 + 43 + 53 + 82 + 480 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508746 + ... + 558294.

It is an arithmetic number, because the mean of its divisors is an integer number (322570500).

Almost surely, 2^26435382480 is an apocalyptic number.

26435382480 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 26435382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51611280000).

26435382480 is an abundant number, since it is smaller than the sum of its proper divisors (76787177520).

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

26435382480 is a wasteful number, since it uses less digits than its factorization.

26435382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49603 (or 49591 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 26435382480 in words is "twenty-six billion, four hundred thirty-five million, three hundred eighty-two thousand, four hundred eighty".