61093785060 has 1440 divisors, whose sum is σ = 262069226496. Its totient is φ = 11757312000.

The previous prime is 61093785041. The next prime is 61093785101. The reversal of 61093785060 is 6058739016.

It is a happy number.

61093785060 is a `hidden beast` number, since 6 + 109 + 37 + 8 + 506 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 61093784997 and 61093785015.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1001537430 + ... + 1001537490.

Almost surely, 2^61093785060 is an apocalyptic number.

61093785060 is a gapful number since it is divisible by the number (60) 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 61093785060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131034613248).

61093785060 is an abundant number, since it is smaller than the sum of its proper divisors (200975441436).

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

61093785060 is a wasteful number, since it uses less digits than its factorization.

61093785060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 61093785060 in words is "sixty-one billion, ninety-three million, seven hundred eighty-five thousand, sixty".