61154121600 has 1152 divisors, whose sum is σ = 265183027200. Its totient is φ = 13215744000.

The previous prime is 61154121599. The next prime is 61154121661. The reversal of 61154121600 is 612145116.

61154121600 is a `hidden beast` number, since 6 + 1 + 1 + 54 + 1 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127670161 + ... + 127670639.

It is an arithmetic number, because the mean of its divisors is an integer number (230193600).

Almost surely, 2^61154121600 is an apocalyptic number.

61154121600 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 61154121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132591513600).

61154121600 is an abundant number, since it is smaller than the sum of its proper divisors (204028905600).

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

61154121600 is a wasteful number, since it uses less digits than its factorization.

61154121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 61154121600 its reverse (612145116), we get a palindrome (61766266716).

The spelling of 61154121600 in words is "sixty-one billion, one hundred fifty-four million, one hundred twenty-one thousand, six hundred".