5941252800 has 1008 divisors, whose sum is σ = 26139160320. Its totient is φ = 1298903040.

The previous prime is 5941252739. The next prime is 5941252829. The reversal of 5941252800 is 82521495.

5941252800 is a `hidden beast` number, since 594 + 12 + 52 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100699171 + ... + 100699229.

Almost surely, 2^5941252800 is an apocalyptic number.

5941252800 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 5941252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13069580160).

5941252800 is an abundant number, since it is smaller than the sum of its proper divisors (20197907520).

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

5941252800 is a wasteful number, since it uses less digits than its factorization.

5941252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5941252800 is about 77079.5225724706. The cubic root of 5941252800 is about 1811.1705339157.

The spelling of 5941252800 in words is "five billion, nine hundred forty-one million, two hundred fifty-two thousand, eight hundred".