61588851840 has 384 divisors, whose sum is σ = 219070051200. Its totient is φ = 15934980096.

The previous prime is 61588851827. The next prime is 61588851889. The reversal of 61588851840 is 4815888516.

61588851840 is a `hidden beast` number, since 6 + 1 + 5 + 8 + 88 + 518 + 40 = 666.

61588851840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41361816 + ... + 41363304.

It is an arithmetic number, because the mean of its divisors is an integer number (570494925).

Almost surely, 2^61588851840 is an apocalyptic number.

61588851840 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 61588851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109535025600).

61588851840 is an abundant number, since it is smaller than the sum of its proper divisors (157481199360).

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

61588851840 is a wasteful number, since it uses less digits than its factorization.

61588851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 61588851840 in words is "sixty-one billion, five hundred eighty-eight million, eight hundred fifty-one thousand, eight hundred forty".