5880535142400 has 936 divisors, whose sum is σ = 22714919485440. Its totient is φ = 1449197568000.

The previous prime is 5880535142393. The next prime is 5880535142407. The reversal of 5880535142400 is 42415350885.

5880535142400 is a `hidden beast` number, since 5 + 8 + 80 + 53 + 514 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5880535142393) and next prime (5880535142407).

It is a super-2 number, since 2×5880535142400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5880535142407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 717922305 + ... + 717930495.

Almost surely, 2^{5880535142400} is an apocalyptic number.

5880535142400 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 5880535142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11357459742720).

5880535142400 is an abundant number, since it is smaller than the sum of its proper divisors (16834384343040).

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

5880535142400 is a wasteful number, since it uses less digits than its factorization.

5880535142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 5880535142400 in words is "five trillion, eight hundred eighty billion, five hundred thirty-five million, one hundred forty-two thousand, four hundred".