61445010124800 has 468 divisors, whose sum is σ = 227182363031104. Its totient is φ = 15856769433600.

The previous prime is 61445010124793. The next prime is 61445010124801. The reversal of 61445010124800 is 842101054416.

61445010124800 is a `hidden beast` number, since 6 + 1 + 4 + 450 + 1 + 0 + 124 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61445010124801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27494244 + ... + 29644956.

Almost surely, 2^{61445010124800} is an apocalyptic number.

61445010124800 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 61445010124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113591181515552).

61445010124800 is an abundant number, since it is smaller than the sum of its proper divisors (165737352906304).

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

61445010124800 is a wasteful number, since it uses less digits than its factorization.

61445010124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150784 (or 2150754 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 61445010124800 in words is "sixty-one trillion, four hundred forty-five billion, ten million, one hundred twenty-four thousand, eight hundred".