6101879520 has 96 divisors (see below), whose sum is σ = 20968295040. Its totient is φ = 1479242240.

The previous prime is 6101879519. The next prime is 6101879521. The reversal of 6101879520 is 259781016.

It is an interprime number because it is at equal distance from previous prime (6101879519) and next prime (6101879521).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101879521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 572550 + ... + 583109.

It is an arithmetic number, because the mean of its divisors is an integer number (218419740).

Almost surely, 2^6101879520 is an apocalyptic number.

6101879520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6101879520 is an abundant number, since it is smaller than the sum of its proper divisors (14866415520).

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

6101879520 is a wasteful number, since it uses less digits than its factorization.

6101879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155688 (or 1155680 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 6101879520 is about 78114.5282261885. The cubic root of 6101879520 is about 1827.3477779220.

The spelling of 6101879520 in words is "six billion, one hundred one million, eight hundred seventy-nine thousand, five hundred twenty".