57151077700 has 72 divisors (see below), whose sum is σ = 131557845384. Its totient is φ = 21475584000.

The previous prime is 57151077689. The next prime is 57151077701. The reversal of 57151077700 is 777015175.

57151077700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 3008303104 + 54142774596 = 54848^2 + 232686^2 .

It is not an unprimeable number, because it can be changed into a prime (57151077701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 888630 + ... + 950770.

It is an arithmetic number, because the mean of its divisors is an integer number (1827192297).

Almost surely, 2^57151077700 is an apocalyptic number.

57151077700 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 57151077700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65778922692).

57151077700 is an abundant number, since it is smaller than the sum of its proper divisors (74406767684).

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

57151077700 is a wasteful number, since it uses less digits than its factorization.

57151077700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62713 (or 62706 counting only the distinct ones).

The product of its (nonzero) digits is 60025, while the sum is 40.

The spelling of 57151077700 in words is "fifty-seven billion, one hundred fifty-one million, seventy-seven thousand, seven hundred".