61493852160 has 576 divisors, whose sum is σ = 238146985440. Its totient is φ = 15128985600.

The previous prime is 61493852153. The next prime is 61493852171. The reversal of 61493852160 is 6125839416.

61493852160 is a `hidden beast` number, since 6 + 1 + 493 + 85 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 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, 32347210 + ... + 32349110.

Almost surely, 2^61493852160 is an apocalyptic number.

61493852160 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 61493852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119073492720).

61493852160 is an abundant number, since it is smaller than the sum of its proper divisors (176653133280).

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

61493852160 is a wasteful number, since it uses less digits than its factorization.

61493852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61493852160 in words is "sixty-one billion, four hundred ninety-three million, eight hundred fifty-two thousand, one hundred sixty".