5880213504 has 312 divisors, whose sum is σ = 19642280112. Its totient is φ = 1675100160.

The previous prime is 5880213503. The next prime is 5880213551. The reversal of 5880213504 is 4053120885.

It is a happy number.

5880213504 is a `hidden beast` number, since 58 + 80 + 21 + 3 + 504 = 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 (5880213503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6893142 + ... + 6893994.

It is an arithmetic number, because the mean of its divisors is an integer number (62956026).

Almost surely, 2^5880213504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5880213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9821140056).

5880213504 is an abundant number, since it is smaller than the sum of its proper divisors (13762066608).

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

5880213504 is a wasteful number, since it uses less digits than its factorization.

5880213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5880213504 is about 76682.5501923352. The cubic root of 5880213504 is about 1804.9466306097.

The spelling of 5880213504 in words is "five billion, eight hundred eighty million, two hundred thirteen thousand, five hundred four".