35755125120 has 768 divisors, whose sum is σ = 147080344320. Its totient is φ = 7889633280.

The previous prime is 35755125113. The next prime is 35755125127. The reversal of 35755125120 is 2152155753.

35755125120 is a `hidden beast` number, since 3 + 5 + 75 + 512 + 51 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (35755125113) and next prime (35755125127).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35755125127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68365179 + ... + 68365701.

It is an arithmetic number, because the mean of its divisors is an integer number (191510865).

Almost surely, 2^35755125120 is an apocalyptic number.

35755125120 is a gapful number since it is divisible by the number (30) 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 35755125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73540172160).

35755125120 is an abundant number, since it is smaller than the sum of its proper divisors (111325219200).

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

35755125120 is a wasteful number, since it uses less digits than its factorization.

35755125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 35755125120 in words is "thirty-five billion, seven hundred fifty-five million, one hundred twenty-five thousand, one hundred twenty".