61573087994880 has 2816 divisors, whose sum is σ = 265759131230208. Its totient is φ = 11777605632000.

The previous prime is 61573087994857. The next prime is 61573087994881. The reversal of 61573087994880 is 8849978037516.

It is a tau number, because it is divible by the number of its divisors (2816).

It is not an unprimeable number, because it can be changed into a prime (61573087994881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 255489991560 + ... + 255489991800.

It is an arithmetic number, because the mean of its divisors is an integer number (94374691488).

Almost surely, 2^{61573087994880} is an apocalyptic number.

61573087994880 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 61573087994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132879565615104).

61573087994880 is an abundant number, since it is smaller than the sum of its proper divisors (204186043235328).

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

61573087994880 is a wasteful number, since it uses less digits than its factorization.

61573087994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 75.

The spelling of 61573087994880 in words is "sixty-one trillion, five hundred seventy-three billion, eighty-seven million, nine hundred ninety-four thousand, eight hundred eighty".