87761185737120 has 3456 divisors, whose sum is σ = 385592455987200. Its totient is φ = 18573731205120.

The previous prime is 87761185736977. The next prime is 87761185737149. The reversal of 87761185737120 is 2173758116778.

87761185737120 is a `hidden beast` number, since 8 + 7 + 7 + 61 + 185 + 7 + 371 + 20 = 666.

87761185737120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 691032958497 + ... + 691032958623.

It is an arithmetic number, because the mean of its divisors is an integer number (111571891200).

Almost surely, 2^{87761185737120} is an apocalyptic number.

87761185737120 is a gapful number since it is divisible by the number (80) 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 87761185737120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192796227993600).

87761185737120 is an abundant number, since it is smaller than the sum of its proper divisors (297831270250080).

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

87761185737120 is a wasteful number, since it uses less digits than its factorization.

87761185737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 63.

The spelling of 87761185737120 in words is "eighty-seven trillion, seven hundred sixty-one billion, one hundred eighty-five million, seven hundred thirty-seven thousand, one hundred twenty".