5980262400 has 780 divisors, whose sum is σ = 25562734912. Its totient is φ = 1353646080.

The previous prime is 5980262357. The next prime is 5980262401. The reversal of 5980262400 is 42620895.

It is a happy number.

5980262400 is a `hidden beast` number, since 598 + 0 + 2 + 62 + 4 + 0 + 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 (5980262401) 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 59 ways as a sum of consecutive naturals, for example, 58060749 + ... + 58060851.

Almost surely, 2^5980262400 is an apocalyptic number.

5980262400 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 5980262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781367456).

5980262400 is an abundant number, since it is smaller than the sum of its proper divisors (19582472512).

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

5980262400 is a wasteful number, since it uses less digits than its factorization.

5980262400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5980262400 is about 77332.1563128819. The cubic root of 5980262400 is about 1815.1258706505.

The spelling of 5980262400 in words is "five billion, nine hundred eighty million, two hundred sixty-two thousand, four hundred".