61187891733504 has 440 divisors, whose sum is σ = 191455884584448. Its totient is φ = 19428085923840.

The previous prime is 61187891733503. The next prime is 61187891733509. The reversal of 61187891733504 is 40533719878116.

61187891733504 is a `hidden beast` number, since 6 + 1 + 1 + 8 + 7 + 8 + 91 + 7 + 33 + 504 = 666.

It is a super-2 number, since 2×61187891733504² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61187891733503) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 459692049 + ... + 459825135.

Almost surely, 2^{61187891733504} is an apocalyptic number.

61187891733504 is a gapful number since it is divisible by the number (64) 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 61187891733504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95727942292224).

61187891733504 is an abundant number, since it is smaller than the sum of its proper divisors (130267992850944).

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

61187891733504 is a wasteful number, since it uses less digits than its factorization.

61187891733504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133383 (or 133356 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 61187891733504 in words is "sixty-one trillion, one hundred eighty-seven billion, eight hundred ninety-one million, seven hundred thirty-three thousand, five hundred four".