61255576800 has 432 divisors, whose sum is σ = 240101538768. Its totient is φ = 14568652800.

The previous prime is 61255576799. The next prime is 61255576807. The reversal of 61255576800 is 867555216.

61255576800 is a `hidden beast` number, since 6 + 12 + 5 + 557 + 6 + 80 + 0 = 666.

61255576800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61255576807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4190304 + ... + 4204896.

It is an arithmetic number, because the mean of its divisors is an integer number (555790599).

Almost surely, 2^61255576800 is an apocalyptic number.

61255576800 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 61255576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120050769384).

61255576800 is an abundant number, since it is smaller than the sum of its proper divisors (178845961968).

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

61255576800 is a wasteful number, since it uses less digits than its factorization.

61255576800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14683 (or 14667 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 61255576800 in words is "sixty-one billion, two hundred fifty-five million, five hundred seventy-six thousand, eight hundred".