61593143040 has 1152 divisors, whose sum is σ = 261417461760. Its totient is φ = 13649264640.

The previous prime is 61593143039. The next prime is 61593143069. The reversal of 61593143040 is 4034139516.

61593143040 is a `hidden beast` number, since 6 + 159 + 31 + 430 + 40 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 61593142986 and 61593143004.

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 127 ways as a sum of consecutive naturals, for example, 597991629 + ... + 597991731.

It is an arithmetic number, because the mean of its divisors is an integer number (226924880).

Almost surely, 2^61593143040 is an apocalyptic number.

61593143040 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 61593143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130708730880).

61593143040 is an abundant number, since it is smaller than the sum of its proper divisors (199824318720).

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

61593143040 is a wasteful number, since it uses less digits than its factorization.

61593143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61593143040 in words is "sixty-one billion, five hundred ninety-three million, one hundred forty-three thousand, forty".