5695106400 has 216 divisors, whose sum is σ = 20413162224. Its totient is φ = 1493683200.

The previous prime is 5695106387. The next prime is 5695106407. The reversal of 5695106400 is 46015965.

5695106400 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 1 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5695106407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 432717 + ... + 445683.

Almost surely, 2^5695106400 is an apocalyptic number.

5695106400 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 5695106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206581112).

5695106400 is an abundant number, since it is smaller than the sum of its proper divisors (14718055824).

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

5695106400 is a wasteful number, since it uses less digits than its factorization.

5695106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13054 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5695106400 is about 75465.9287360859. The cubic root of 5695106400 is about 1785.8046415842.

The spelling of 5695106400 in words is "five billion, six hundred ninety-five million, one hundred six thousand, four hundred".