26187073920 has 1152 divisors, whose sum is σ = 112756250880. Its totient is φ = 5573836800.

The previous prime is 26187073919. The next prime is 26187074021. The reversal of 26187073920 is 2937078162.

26187073920 is a `hidden beast` number, since 2 + 618 + 7 + 0 + 7 + 3 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 358727004 + ... + 358727076.

It is an arithmetic number, because the mean of its divisors is an integer number (97878690).

Almost surely, 2^26187073920 is an apocalyptic number.

26187073920 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 26187073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56378125440).

26187073920 is an abundant number, since it is smaller than the sum of its proper divisors (86569176960).

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

26187073920 is a wasteful number, since it uses less digits than its factorization.

26187073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

It can be divided in two parts, 261870 and 73920, that added together give a triangular number (335790 = T₈₁₉).

The spelling of 26187073920 in words is "twenty-six billion, one hundred eighty-seven million, seventy-three thousand, nine hundred twenty".