87903054874080 has 576 divisors, whose sum is σ = 336301882076160. Its totient is φ = 21606889273344.

The previous prime is 87903054874069. The next prime is 87903054874123. The reversal of 87903054874080 is 8047845030978.

87903054874080 is a `hidden beast` number, since 8 + 7 + 9 + 0 + 3 + 0 + 548 + 7 + 4 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87903054873999 and 87903054874017.

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 95 ways as a sum of consecutive naturals, for example, 25724617 + ... + 28940663.

It is an arithmetic number, because the mean of its divisors is an integer number (583857434160).

Almost surely, 2^{87903054874080} is an apocalyptic number.

87903054874080 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 87903054874080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168150941038080).

87903054874080 is an abundant number, since it is smaller than the sum of its proper divisors (248398827202080).

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

87903054874080 is a wasteful number, since it uses less digits than its factorization.

87903054874080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216133 (or 3216113 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 87903054874080 in words is "eighty-seven trillion, nine hundred three billion, fifty-four million, eight hundred seventy-four thousand, eighty".