61254927518400 has 6048 divisors, whose sum is σ = 308874393273600. Its totient is φ = 11725959168000.

The previous prime is 61254927518399. The next prime is 61254927518401. The reversal of 61254927518400 is 481572945216.

61254927518400 is a `hidden beast` number, since 6 + 1 + 2 + 5 + 492 + 75 + 1 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61254927518399) and next prime (61254927518401).

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×61254927518400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61254927518401) by changing a digit.

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 863 ways as a sum of consecutive naturals, for example, 199527451047 + ... + 199527451353.

Almost surely, 2^{61254927518400} is an apocalyptic number.

61254927518400 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 61254927518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154437196636800).

61254927518400 is an abundant number, since it is smaller than the sum of its proper divisors (247619465755200).

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

61254927518400 is a wasteful number, since it uses less digits than its factorization.

61254927518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 61254927518400 in words is "sixty-one trillion, two hundred fifty-four billion, nine hundred twenty-seven million, five hundred eighteen thousand, four hundred".