26430053760 has 320 divisors, whose sum is σ = 102969306000. Its totient is φ = 6407147520.

The previous prime is 26430053729. The next prime is 26430053773. The reversal of 26430053760 is 6735003462.

26430053760 is a `hidden beast` number, since 2 + 64 + 3 + 0 + 0 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×26430053760³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 547066 + ... + 593414.

Almost surely, 2^26430053760 is an apocalyptic number.

26430053760 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 26430053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51484653000).

26430053760 is an abundant number, since it is smaller than the sum of its proper divisors (76539252240).

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

26430053760 is a wasteful number, since it uses less digits than its factorization.

26430053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46391 (or 46370 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 26430053760 in words is "twenty-six billion, four hundred thirty million, fifty-three thousand, seven hundred sixty".