61352176400 has 120 divisors (see below), whose sum is σ = 151125383904. Its totient is φ = 23922662400.

The previous prime is 61352176397. The next prime is 61352176441. The reversal of 61352176400 is 467125316.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9405140 + ... + 9411660.

Almost surely, 2^61352176400 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 61352176400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75562691952).

61352176400 is an abundant number, since it is smaller than the sum of its proper divisors (89773207504).

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

61352176400 is a wasteful number, since it uses less digits than its factorization.

61352176400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 61352176400 in words is "sixty-one billion, three hundred fifty-two million, one hundred seventy-six thousand, four hundred".