61338956800 has 132 divisors (see below), whose sum is σ = 165869490816. Its totient is φ = 22304972800.

The previous prime is 61338956743. The next prime is 61338956857. The reversal of 61338956800 is 865983316.

It is an interprime number because it is at equal distance from previous prime (61338956743) and next prime (61338956857).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172689 + ... + 390511.

Almost surely, 2^61338956800 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 61338956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82934745408).

61338956800 is an abundant number, since it is smaller than the sum of its proper divisors (104530534016).

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

61338956800 is a wasteful number, since it uses less digits than its factorization.

61338956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217864 (or 217841 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 61338956800 in words is "sixty-one billion, three hundred thirty-eight million, nine hundred fifty-six thousand, eight hundred".