61259499450 has 192 divisors, whose sum is σ = 170959057920. Its totient is φ = 16128745920.

The previous prime is 61259499449. The next prime is 61259499451. The reversal of 61259499450 is 5499495216.

61259499450 is a `hidden beast` number, since 6 + 1 + 2 + 594 + 9 + 9 + 45 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61259499449) and next prime (61259499451).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (61259499451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36747517 + ... + 36749183.

It is an arithmetic number, because the mean of its divisors is an integer number (890411760).

Almost surely, 2^61259499450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61259499450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85479528960).

61259499450 is an abundant number, since it is smaller than the sum of its proper divisors (109699558470).

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

61259499450 is a wasteful number, since it uses less digits than its factorization.

61259499450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 61259499450 in words is "sixty-one billion, two hundred fifty-nine million, four hundred ninety-nine thousand, four hundred fifty".