61306201135872 has 1728 divisors, whose sum is σ = 230466981169152. Its totient is φ = 15216574464000.

The previous prime is 61306201135859. The next prime is 61306201135877. The reversal of 61306201135872 is 27853110260316.

It is a happy number.

61306201135872 is a `hidden beast` number, since 6 + 1 + 3 + 0 + 62 + 0 + 1 + 1 + 3 + 587 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (61306201135877) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56089844958 + ... + 56089846050.

It is an arithmetic number, because the mean of its divisors is an integer number (133372095584).

Almost surely, 2^{61306201135872} 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 61306201135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115233490584576).

61306201135872 is an abundant number, since it is smaller than the sum of its proper divisors (169160780033280).

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

61306201135872 is a wasteful number, since it uses less digits than its factorization.

61306201135872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 61306201135872 in words is "sixty-one trillion, three hundred six billion, two hundred one million, one hundred thirty-five thousand, eight hundred seventy-two".