5913788160 has 576 divisors, whose sum is σ = 22906404864. Its totient is φ = 1271808000.

The previous prime is 5913788137. The next prime is 5913788183. The reversal of 5913788160 is 618873195.

It is an interprime number because it is at equal distance from previous prime (5913788137) and next prime (5913788183).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39164085 + ... + 39164235.

It is an arithmetic number, because the mean of its divisors is an integer number (39768064).

Almost surely, 2^5913788160 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 5913788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11453202432).

5913788160 is an abundant number, since it is smaller than the sum of its proper divisors (16992616704).

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

5913788160 is a wasteful number, since it uses less digits than its factorization.

5913788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 5913788160 is about 76901.1583787917. The cubic root of 5913788160 is about 1808.3753886789.

The spelling of 5913788160 in words is "five billion, nine hundred thirteen million, seven hundred eighty-eight thousand, one hundred sixty".