128753740350 has 240 divisors, whose sum is σ = 389565356400. Its totient is φ = 31405086720.

The previous prime is 128753740343. The next prime is 128753740351. The reversal of 128753740350 is 53047357821.

128753740350 is a `hidden beast` number, since 1 + 2 + 87 + 537 + 4 + 0 + 35 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 128753740296 and 128753740305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128753740351) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2202702 + ... + 2260398.

It is an arithmetic number, because the mean of its divisors is an integer number (1623188985).

Almost surely, 2^128753740350 is an apocalyptic number.

128753740350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128753740350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194782678200).

128753740350 is an abundant number, since it is smaller than the sum of its proper divisors (260811616050).

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

128753740350 is a wasteful number, since it uses less digits than its factorization.

128753740350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57769 (or 57755 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 128753740350 in words is "one hundred twenty-eight billion, seven hundred fifty-three million, seven hundred forty thousand, three hundred fifty".