5735563475400 has 288 divisors, whose sum is σ = 21154056768000. Its totient is φ = 1381107110400.

The previous prime is 5735563475347. The next prime is 5735563475419. The reversal of 5735563475400 is 45743655375.

5735563475400 is a `hidden beast` number, since 5 + 7 + 3 + 5 + 56 + 3 + 47 + 540 + 0 = 666.

It is a super-3 number, since 3×5735563475400³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1978137 + ... + 3922263.

It is an arithmetic number, because the mean of its divisors is an integer number (73451586000).

Almost surely, 2^{5735563475400} is an apocalyptic number.

5735563475400 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 5735563475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577028384000).

5735563475400 is an abundant number, since it is smaller than the sum of its proper divisors (15418493292600).

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

5735563475400 is a wasteful number, since it uses less digits than its factorization.

5735563475400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944309 (or 1944297 counting only the distinct ones).

The product of its (nonzero) digits is 26460000, while the sum is 54.

The spelling of 5735563475400 in words is "five trillion, seven hundred thirty-five billion, five hundred sixty-three million, four hundred seventy-five thousand, four hundred".