5371766400 has 1152 divisors, whose sum is σ = 24442007040. Its totient is φ = 1006387200.

The previous prime is 5371766383. The next prime is 5371766401. The reversal of 5371766400 is 46671735.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5371766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124924779 + ... + 124924821.

It is an arithmetic number, because the mean of its divisors is an integer number (21217020).

Almost surely, 2^5371766400 is an apocalyptic number.

5371766400 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 5371766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221003520).

5371766400 is an abundant number, since it is smaller than the sum of its proper divisors (19070240640).

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

5371766400 is a wasteful number, since it uses less digits than its factorization.

5371766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 5371766400 is about 73292.3352063502. The cubic root of 5371766400 is about 1751.3476856821.

The spelling of 5371766400 in words is "five billion, three hundred seventy-one million, seven hundred sixty-six thousand, four hundred".