18749525760 has 1152 divisors, whose sum is σ = 83073392640. Its totient is φ = 3906994176.

The previous prime is 18749525731. The next prime is 18749525801. The reversal of 18749525760 is 6752594781.

18749525760 is a `hidden beast` number, since 1 + 8 + 7 + 49 + 525 + 76 + 0 = 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 18749525697 and 18749525706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 193294032 + ... + 193294128.

It is an arithmetic number, because the mean of its divisors is an integer number (72112320).

Almost surely, 2^18749525760 is an apocalyptic number.

18749525760 is a gapful number since it is divisible by the number (10) 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 18749525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41536696320).

18749525760 is an abundant number, since it is smaller than the sum of its proper divisors (64323866880).

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

18749525760 is a wasteful number, since it uses less digits than its factorization.

18749525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 18749525760 in words is "eighteen billion, seven hundred forty-nine million, five hundred twenty-five thousand, seven hundred sixty".