61158568800 has 144 divisors (see below), whose sum is σ = 227509938432. Its totient is φ = 13979097600.

The previous prime is 61158568799. The next prime is 61158568813. The reversal of 61158568800 is 886585116.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61158568800.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1803396 + ... + 1836995.

It is an arithmetic number, because the mean of its divisors is an integer number (1579930128).

Almost surely, 2^61158568800 is an apocalyptic number.

61158568800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61158568800 is an abundant number, since it is smaller than the sum of its proper divisors (166351369632).

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

61158568800 is a wasteful number, since it uses less digits than its factorization.

61158568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640421 (or 3640408 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 61158568800 in words is "sixty-one billion, one hundred fifty-eight million, five hundred sixty-eight thousand, eight hundred".