26970587424 has 432 divisors, whose sum is σ = 88752029184. Its totient is φ = 7701657600.

The previous prime is 26970587393. The next prime is 26970587437. The reversal of 26970587424 is 42478507962.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141207169 + ... + 141207359.

It is an arithmetic number, because the mean of its divisors is an integer number (205444512).

Almost surely, 2^26970587424 is an apocalyptic number.

26970587424 is a gapful number since it is divisible by the number (24) 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 26970587424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44376014592).

26970587424 is an abundant number, since it is smaller than the sum of its proper divisors (61781441760).

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

26970587424 is a wasteful number, since it uses less digits than its factorization.

26970587424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 26970587424 in words is "twenty-six billion, nine hundred seventy million, five hundred eighty-seven thousand, four hundred twenty-four".