61254166950 has 384 divisors, whose sum is σ = 180502732800. Its totient is φ = 15242325120.

The previous prime is 61254166891. The next prime is 61254166951. The reversal of 61254166950 is 5966145216.

61254166950 is a `hidden beast` number, since 6 + 12 + 541 + 6 + 6 + 95 + 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 = 61254166896 and 61254166905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61254166951) 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, 342201961 + ... + 342202139.

It is an arithmetic number, because the mean of its divisors is an integer number (470059200).

Almost surely, 2^61254166950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61254166950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90251366400).

61254166950 is an abundant number, since it is smaller than the sum of its proper divisors (119248565850).

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

61254166950 is a wasteful number, since it uses less digits than its factorization.

61254166950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 61254166950 in words is "sixty-one billion, two hundred fifty-four million, one hundred sixty-six thousand, nine hundred fifty".