61004591827200 has 1296 divisors, whose sum is σ = 267644998123776. Its totient is φ = 12938733158400.

The previous prime is 61004591827187. The next prime is 61004591827297. The reversal of 61004591827200 is 272819540016.

61004591827200 is a `hidden beast` number, since 6 + 10 + 0 + 4 + 591 + 8 + 27 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 486599724 + ... + 486725076.

It is an arithmetic number, because the mean of its divisors is an integer number (206516202256).

Almost surely, 2^{61004591827200} is an apocalyptic number.

61004591827200 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 61004591827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133822499061888).

61004591827200 is an abundant number, since it is smaller than the sum of its proper divisors (206640406296576).

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

61004591827200 is a wasteful number, since it uses less digits than its factorization.

61004591827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125480 (or 125458 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 61004591827200 in words is "sixty-one trillion, four billion, five hundred ninety-one million, eight hundred twenty-seven thousand, two hundred".