26578125420 has 384 divisors, whose sum is σ = 95459696640. Its totient is φ = 5364817920.

The previous prime is 26578125419. The next prime is 26578125443. The reversal of 26578125420 is 2452187562.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70126791 + ... + 70127169.

It is an arithmetic number, because the mean of its divisors is an integer number (248592960).

Almost surely, 2^26578125420 is an apocalyptic number.

26578125420 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 26578125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47729848320).

26578125420 is an abundant number, since it is smaller than the sum of its proper divisors (68881571220).

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

26578125420 is a wasteful number, since it uses less digits than its factorization.

26578125420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 26578125420 in words is "twenty-six billion, five hundred seventy-eight million, one hundred twenty-five thousand, four hundred twenty".