5735057051100 has 288 divisors, whose sum is σ = 18011829044160. Its totient is φ = 1400503541760.

The previous prime is 5735057051063. The next prime is 5735057051153. The reversal of 5735057051100 is 11507505375.

It is a super-2 number, since 2×5735057051100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1276440454 + ... + 1276444946.

It is an arithmetic number, because the mean of its divisors is an integer number (62541073070).

Almost surely, 2^{5735057051100} is an apocalyptic number.

5735057051100 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 5735057051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9005914522080).

5735057051100 is an abundant number, since it is smaller than the sum of its proper divisors (12276771993060).

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

5735057051100 is a wasteful number, since it uses less digits than its factorization.

5735057051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7042 counting only the distinct ones).

The product of its (nonzero) digits is 91875, while the sum is 39.

The spelling of 5735057051100 in words is "five trillion, seven hundred thirty-five billion, fifty-seven million, fifty-one thousand, one hundred".