5978101920 has 288 divisors, whose sum is σ = 21993467328. Its totient is φ = 1360945152.

The previous prime is 5978101919. The next prime is 5978101957. The reversal of 5978101920 is 291018795.

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

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, 10183867 + ... + 10184453.

It is an arithmetic number, because the mean of its divisors is an integer number (76366206).

Almost surely, 2^5978101920 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 5978101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10996733664).

5978101920 is an abundant number, since it is smaller than the sum of its proper divisors (16015365408).

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

5978101920 is a wasteful number, since it uses less digits than its factorization.

5978101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 5978101920 is about 77318.1862177328. The cubic root of 5978101920 is about 1814.9072617658.

The spelling of 5978101920 in words is "five billion, nine hundred seventy-eight million, one hundred one thousand, nine hundred twenty".