6101615520 has 1536 divisors, whose sum is σ = 30725775360. Its totient is φ = 1088225280.

The previous prime is 6101615519. The next prime is 6101615539. The reversal of 6101615520 is 255161016.

It is a happy number.

6101615520 is a `hidden beast` number, since 6 + 101 + 6 + 1 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73513399 + ... + 73513481.

It is an arithmetic number, because the mean of its divisors is an integer number (20003760).

Almost surely, 2^6101615520 is an apocalyptic number.

6101615520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6101615520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362887680).

6101615520 is an abundant number, since it is smaller than the sum of its proper divisors (24624159840).

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

6101615520 is a wasteful number, since it uses less digits than its factorization.

6101615520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 6101615520 is about 78112.8383814082. The cubic root of 6101615520 is about 1827.3214239235.

Adding to 6101615520 its reverse (255161016), we get a palindrome (6356776536).

The spelling of 6101615520 in words is "six billion, one hundred one million, six hundred fifteen thousand, five hundred twenty".