5705010377100 has 108 divisors (see below), whose sum is σ = 17891420516424. Its totient is φ = 1520537879040.

The previous prime is 5705010377093. The next prime is 5705010377113. The reversal of 5705010377100 is 17730105075.

It is a happy number.

5705010377100 is a `hidden beast` number, since 5 + 70 + 501 + 0 + 3 + 77 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54292 + ... + 3378308.

It is an arithmetic number, because the mean of its divisors is an integer number (165661301078).

Almost surely, 2^{5705010377100} is an apocalyptic number.

5705010377100 is a gapful number since it is divisible by the number (50) 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 5705010377100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8945710258212).

5705010377100 is an abundant number, since it is smaller than the sum of its proper divisors (12186410139324).

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

5705010377100 is a wasteful number, since it uses less digits than its factorization.

5705010377100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325944 (or 3325934 counting only the distinct ones).

The product of its (nonzero) digits is 25725, while the sum is 36.

The spelling of 5705010377100 in words is "five trillion, seven hundred five billion, ten million, three hundred seventy-seven thousand, one hundred".