61072281600 has 936 divisors, whose sum is σ = 233428559616. Its totient is φ = 14057472000.

The previous prime is 61072281583. The next prime is 61072281643. The reversal of 61072281600 is 618227016.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1152307174 + ... + 1152307226.

Almost surely, 2^61072281600 is an apocalyptic number.

61072281600 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 61072281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116714279808).

61072281600 is an abundant number, since it is smaller than the sum of its proper divisors (172356278016).

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

61072281600 is a wasteful number, since it uses less digits than its factorization.

61072281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 61072281600 in words is "sixty-one billion, seventy-two million, two hundred eighty-one thousand, six hundred".