87454534776 has 192 divisors, whose sum is σ = 256609440000. Its totient is φ = 24764382720.

The previous prime is 87454534763. The next prime is 87454534793. The reversal of 87454534776 is 67743545478.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77461380 + ... + 77462508.

It is an arithmetic number, because the mean of its divisors is an integer number (1336507500).

Almost surely, 2^87454534776 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 87454534776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304720000).

87454534776 is an abundant number, since it is smaller than the sum of its proper divisors (169154905224).

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

87454534776 is a wasteful number, since it uses less digits than its factorization.

87454534776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

The product of its digits is 79027200, while the sum is 60.

The spelling of 87454534776 in words is "eighty-seven billion, four hundred fifty-four million, five hundred thirty-four thousand, seven hundred seventy-six".