61033512960 has 896 divisors, whose sum is σ = 254428889760. Its totient is φ = 13759414272.

The previous prime is 61033512959. The next prime is 61033512961. The reversal of 61033512960 is 6921533016.

61033512960 is a `hidden beast` number, since 6 + 10 + 3 + 351 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61033512959) and next prime (61033512961).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61033512961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 836075484 + ... + 836075556.

Almost surely, 2^61033512960 is an apocalyptic number.

61033512960 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 61033512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127214444880).

61033512960 is an abundant number, since it is smaller than the sum of its proper divisors (193395376800).

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

61033512960 is an frugal number, since it uses more digits than its factorization.

61033512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 61033512960 in words is "sixty-one billion, thirty-three million, five hundred twelve thousand, nine hundred sixty".