26161424520 has 1152 divisors, whose sum is σ = 112080568320. Its totient is φ = 4767206400.

The previous prime is 26161424483. The next prime is 26161424557. The reversal of 26161424520 is 2542416162.

It is an interprime number because it is at equal distance from previous prime (26161424483) and next prime (26161424557).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 843916905 + ... + 843916935.

It is an arithmetic number, because the mean of its divisors is an integer number (97292160).

Almost surely, 2^26161424520 is an apocalyptic number.

26161424520 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 26161424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56040284160).

26161424520 is an abundant number, since it is smaller than the sum of its proper divisors (85919143800).

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

26161424520 is a wasteful number, since it uses less digits than its factorization.

26161424520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 26161424520 in words is "twenty-six billion, one hundred sixty-one million, four hundred twenty-four thousand, five hundred twenty".