61435221607032 has 256 divisors, whose sum is σ = 191239716864000. Its totient is φ = 16014494707200.

The previous prime is 61435221606923. The next prime is 61435221607037. The reversal of 61435221607032 is 23070612253416.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61435221607037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65158953 + ... + 66095079.

It is an arithmetic number, because the mean of its divisors is an integer number (747030144000).

Almost surely, 2^{61435221607032} 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 61435221607032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95619858432000).

61435221607032 is an abundant number, since it is smaller than the sum of its proper divisors (129804495256968).

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

61435221607032 is a wasteful number, since it uses less digits than its factorization.

61435221607032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936506 (or 936502 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 61435221607032 in words is "sixty-one trillion, four hundred thirty-five billion, two hundred twenty-one million, six hundred seven thousand, thirty-two".