61895871000 has 192 divisors, whose sum is σ = 215957664000. Its totient is φ = 15973056000.

The previous prime is 61895870983. The next prime is 61895871007. The reversal of 61895871000 is 17859816.

61895871000 is a `hidden beast` number, since 61 + 8 + 9 + 587 + 1 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61895871007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168076 + ... + 389924.

It is an arithmetic number, because the mean of its divisors is an integer number (1124779500).

Almost surely, 2^61895871000 is an apocalyptic number.

61895871000 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 61895871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107978832000).

61895871000 is an abundant number, since it is smaller than the sum of its proper divisors (154061793000).

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

61895871000 is a wasteful number, since it uses less digits than its factorization.

61895871000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221907 (or 221890 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 61895871000 in words is "sixty-one billion, eight hundred ninety-five million, eight hundred seventy-one thousand".