61385186772 has 480 divisors, whose sum is σ = 207966173184. Its totient is φ = 15345158400.

The previous prime is 61385186713. The next prime is 61385186789. The reversal of 61385186772 is 27768158316.

It is a happy number.

61385186772 is a `hidden beast` number, since 61 + 3 + 8 + 518 + 67 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88834947 + ... + 88835637.

Almost surely, 2^61385186772 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 61385186772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103983086592).

61385186772 is an abundant number, since it is smaller than the sum of its proper divisors (146580986412).

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

61385186772 is a wasteful number, since it uses less digits than its factorization.

61385186772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 870 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 61385186772 in words is "sixty-one billion, three hundred eighty-five million, one hundred eighty-six thousand, seven hundred seventy-two".