87808085761044 has 192 divisors, whose sum is σ = 228828066066432. Its totient is φ = 25978440384000.

The previous prime is 87808085761037. The next prime is 87808085761073. The reversal of 87808085761044 is 44016758080878.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4947761779 + ... + 4947779525.

It is an arithmetic number, because the mean of its divisors is an integer number (1191812844096).

Almost surely, 2^{87808085761044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87808085761044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114414033033216).

87808085761044 is an abundant number, since it is smaller than the sum of its proper divisors (141019980305388).

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

87808085761044 is a wasteful number, since it uses less digits than its factorization.

87808085761044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 19724 counting only the distinct ones).

The product of its (nonzero) digits is 96337920, while the sum is 66.

The spelling of 87808085761044 in words is "eighty-seven trillion, eight hundred eight billion, eighty-five million, seven hundred sixty-one thousand, forty-four".