5961326400 has 126 divisors (see below), whose sum is σ = 21188012742. Its totient is φ = 1589683200.

The previous prime is 5961326389. The next prime is 5961326401. The reversal of 5961326400 is 46231695.

It is a happy number.

5961326400 is a `hidden beast` number, since 5 + 9 + 6 + 1 + 3 + 2 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 55711296 + 5905615104 = 7464^2 + 76848^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (5961326401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 192591 + ... + 221390.

Almost surely, 2^5961326400 is an apocalyptic number.

5961326400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5961326400 is an abundant number, since it is smaller than the sum of its proper divisors (15226686342).

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

5961326400 is a wasteful number, since it uses less digits than its factorization.

5961326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414009 (or 413991 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5961326400 is about 77209.6263428337. The cubic root of 5961326400 is about 1813.2080303170.

The spelling of 5961326400 in words is "five billion, nine hundred sixty-one million, three hundred twenty-six thousand, four hundred".