61753860000 has 1440 divisors, whose sum is σ = 281425415040. Its totient is φ = 12856320000.

The previous prime is 61753859989. The next prime is 61753860023. The reversal of 61753860000 is 6835716.

61753860000 is a `hidden beast` number, since 6 + 17 + 5 + 38 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1992059985 + ... + 1992060015.

It is an arithmetic number, because the mean of its divisors is an integer number (195434316).

Almost surely, 2^61753860000 is an apocalyptic number.

61753860000 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 61753860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140712707520).

61753860000 is an abundant number, since it is smaller than the sum of its proper divisors (219671555040).

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

61753860000 is a wasteful number, since it uses less digits than its factorization.

61753860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 61753860000 in words is "sixty-one billion, seven hundred fifty-three million, eight hundred sixty thousand".