35425407705300 has 432 divisors, whose sum is σ = 113235853191552. Its totient is φ = 9261515289600.

The previous prime is 35425407705269. The next prime is 35425407705313. The reversal of 35425407705300 is 350770452453.

35425407705300 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 5 + 40 + 7 + 70 + 530 + 0 = 666.

It is a super-3 number, since 3×35425407705300³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10072619142 + ... + 10072622658.

It is an arithmetic number, because the mean of its divisors is an integer number (262120030536).

Almost surely, 2^{35425407705300} is an apocalyptic number.

35425407705300 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 35425407705300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56617926595776).

35425407705300 is an abundant number, since it is smaller than the sum of its proper divisors (77810445486252).

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

35425407705300 is a wasteful number, since it uses less digits than its factorization.

35425407705300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 35425407705300 in words is "thirty-five trillion, four hundred twenty-five billion, four hundred seven million, seven hundred five thousand, three hundred".