26347573120 has 256 divisors, whose sum is σ = 70683943680. Its totient is φ = 9310371840.

The previous prime is 26347573073. The next prime is 26347573123. The reversal of 26347573120 is 2137574362.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26347573123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39149104 + ... + 39149776.

It is an arithmetic number, because the mean of its divisors is an integer number (276109155).

Almost surely, 2^26347573120 is an apocalyptic number.

26347573120 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 26347573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35341971840).

26347573120 is an abundant number, since it is smaller than the sum of its proper divisors (44336370560).

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

26347573120 is a wasteful number, since it uses less digits than its factorization.

26347573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 26347573120 in words is "twenty-six billion, three hundred forty-seven million, five hundred seventy-three thousand, one hundred twenty".