5430956880 has 240 divisors, whose sum is σ = 17997669504. Its totient is φ = 1351848960.

The previous prime is 5430956879. The next prime is 5430956887. The reversal of 5430956880 is 886590345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5430956887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42763377 + ... + 42763503.

Almost surely, 2^5430956880 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 5430956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8998834752).

5430956880 is an abundant number, since it is smaller than the sum of its proper divisors (12566712624).

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

5430956880 is a wasteful number, since it uses less digits than its factorization.

5430956880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 5430956880 is about 73695.0261550941. The cubic root of 5430956880 is about 1757.7567926176.

The spelling of 5430956880 in words is "five billion, four hundred thirty million, nine hundred fifty-six thousand, eight hundred eighty".