7157288160 has 288 divisors, whose sum is σ = 27565181280. Its totient is φ = 1675161600.

The previous prime is 7157288141. The next prime is 7157288207. The reversal of 7157288160 is 618827517.

It is a happy number.

7157288160 is a `hidden beast` number, since 71 + 572 + 8 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 451570 + ... + 467150.

It is an arithmetic number, because the mean of its divisors is an integer number (95712435).

Almost surely, 2^7157288160 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 7157288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13782590640).

7157288160 is an abundant number, since it is smaller than the sum of its proper divisors (20407893120).

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

7157288160 is a wasteful number, since it uses less digits than its factorization.

7157288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15642 (or 15631 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 7157288160 is about 84600.7574434177. The cubic root of 7157288160 is about 1927.1528764699.

The spelling of 7157288160 in words is "seven billion, one hundred fifty-seven million, two hundred eighty-eight thousand, one hundred sixty".