61002160128 has 672 divisors, whose sum is σ = 225582084000. Its totient is φ = 16052649984.

The previous prime is 61002160061. The next prime is 61002160169. The reversal of 61002160128 is 82106120016.

61002160128 is a `hidden beast` number, since 6 + 10 + 0 + 21 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 135862048 + ... + 135862496.

It is an arithmetic number, because the mean of its divisors is an integer number (335687625).

Almost surely, 2^61002160128 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 61002160128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112791042000).

61002160128 is an abundant number, since it is smaller than the sum of its proper divisors (164579923872).

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

61002160128 is an equidigital number, since it uses as much as digits as its factorization.

61002160128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 61002160128 in words is "sixty-one billion, two million, one hundred sixty thousand, one hundred twenty-eight".