5955411840 has 384 divisors, whose sum is σ = 22282283520. Its totient is φ = 1325076480.

The previous prime is 5955411823. The next prime is 5955411857. The reversal of 5955411840 is 481145595.

It is an interprime number because it is at equal distance from previous prime (5955411823) and next prime (5955411857).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5955411792 and 5955411801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75384921 + ... + 75384999.

It is an arithmetic number, because the mean of its divisors is an integer number (58026780).

Almost surely, 2^5955411840 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 5955411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11141141760).

5955411840 is an abundant number, since it is smaller than the sum of its proper divisors (16326871680).

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

5955411840 is an equidigital number, since it uses as much as digits as its factorization.

5955411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 5955411840 is about 77171.3148780037. The cubic root of 5955411840 is about 1812.6081707301.

The spelling of 5955411840 in words is "five billion, nine hundred fifty-five million, four hundred eleven thousand, eight hundred forty".