5735782886400 has 2376 divisors, whose sum is σ = 25615883145216. Its totient is φ = 1266654412800.

The previous prime is 5735782886381. The next prime is 5735782886419. The reversal of 5735782886400 is 46882875375.

5735782886400 is a `hidden beast` number, since 5 + 73 + 5 + 7 + 82 + 8 + 86 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5735782886381) and next prime (5735782886419).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9449394897 + ... + 9449395503.

Almost surely, 2^{5735782886400} is an apocalyptic number.

5735782886400 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 5735782886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807941572608).

5735782886400 is an abundant number, since it is smaller than the sum of its proper divisors (19880100258816).

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

5735782886400 is a wasteful number, since it uses less digits than its factorization.

5735782886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 5735782886400 in words is "five trillion, seven hundred thirty-five billion, seven hundred eighty-two million, eight hundred eighty-six thousand, four hundred".