61290025685064 has 288 divisors, whose sum is σ = 187790172448320. Its totient is φ = 17908666272000.

The previous prime is 61290025685041. The next prime is 61290025685099. The reversal of 61290025685064 is 46058652009216.

61290025685064 is a `hidden beast` number, since 6 + 1 + 29 + 0 + 0 + 2 + 568 + 50 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61290025685064.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210682669 + ... + 210973379.

It is an arithmetic number, because the mean of its divisors is an integer number (652049209890).

Almost surely, 2^{61290025685064} 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 61290025685064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93895086224160).

61290025685064 is an abundant number, since it is smaller than the sum of its proper divisors (126500146763256).

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

61290025685064 is a wasteful number, since it uses less digits than its factorization.

61290025685064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291073 (or 291035 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 61290025685064 in words is "sixty-one trillion, two hundred ninety billion, twenty-five million, six hundred eighty-five thousand, sixty-four".