7161210540 has 576 divisors, whose sum is σ = 26488788480. Its totient is φ = 1591349760.

The previous prime is 7161210481. The next prime is 7161210557. The reversal of 7161210540 is 450121617.

It is a happy number.

7161210540 is a `hidden beast` number, since 7 + 1 + 612 + 1 + 0 + 5 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135117154 + ... + 135117206.

It is an arithmetic number, because the mean of its divisors is an integer number (45987480).

Almost surely, 2^7161210540 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 7161210540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244394240).

7161210540 is an abundant number, since it is smaller than the sum of its proper divisors (19327577940).

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

7161210540 is a wasteful number, since it uses less digits than its factorization.

7161210540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 7161210540 is about 84623.9359755855. The cubic root of 7161210540 is about 1927.5048554738.

The spelling of 7161210540 in words is "seven billion, one hundred sixty-one million, two hundred ten thousand, five hundred forty".