61005106173312 has 768 divisors, whose sum is σ = 212056438763520. Its totient is φ = 16468458209280.

The previous prime is 61005106173257. The next prime is 61005106173353. The reversal of 61005106173312 is 21337160150016.

61005106173312 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 5 + 1 + 0 + 617 + 3 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1892612748 + ... + 1892644980.

It is an arithmetic number, because the mean of its divisors is an integer number (276115154640).

Almost surely, 2^{61005106173312} is an apocalyptic number.

61005106173312 is a gapful number since it is divisible by the number (62) 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 61005106173312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106028219381760).

61005106173312 is an abundant number, since it is smaller than the sum of its proper divisors (151051332590208).

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

61005106173312 is a wasteful number, since it uses less digits than its factorization.

61005106173312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32471 (or 32456 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 61005106173312 in words is "sixty-one trillion, five billion, one hundred six million, one hundred seventy-three thousand, three hundred twelve".