61435596852 has 192 divisors, whose sum is σ = 185443130880. Its totient is φ = 17225395200.

The previous prime is 61435596851. The next prime is 61435596889. The reversal of 61435596852 is 25869553416.

61435596852 is a `hidden beast` number, since 6 + 1 + 4 + 3 + 559 + 6 + 85 + 2 = 666.

It is a super-2 number, since 2×61435596852² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61435596851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24025158 + ... + 24027714.

It is an arithmetic number, because the mean of its divisors is an integer number (965849640).

Almost surely, 2^61435596852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61435596852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92721565440).

61435596852 is an abundant number, since it is smaller than the sum of its proper divisors (124007534028).

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

61435596852 is a wasteful number, since it uses less digits than its factorization.

61435596852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3151 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 61435596852 in words is "sixty-one billion, four hundred thirty-five million, five hundred ninety-six thousand, eight hundred fifty-two".