61287759000 has 896 divisors, whose sum is σ = 240620889600. Its totient is φ = 14500684800.

The previous prime is 61287758993. The next prime is 61287759011. The reversal of 61287759000 is 95778216.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 274832889 + ... + 274833111.

It is an arithmetic number, because the mean of its divisors is an integer number (268550100).

Almost surely, 2^61287759000 is an apocalyptic number.

61287759000 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 61287759000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120310444800).

61287759000 is an abundant number, since it is smaller than the sum of its proper divisors (179333130600).

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

61287759000 is a wasteful number, since it uses less digits than its factorization.

61287759000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 61287759000 in words is "sixty-one billion, two hundred eighty-seven million, seven hundred fifty-nine thousand".