87627157254 has 192 divisors, whose sum is σ = 247804292736. Its totient is φ = 21717061632.

The previous prime is 87627157243. The next prime is 87627157301. The reversal of 87627157254 is 45275172678.

87627157254 is a `hidden beast` number, since 8 + 7 + 62 + 7 + 1 + 572 + 5 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87627157254.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21077344 + ... + 21081500.

It is an arithmetic number, because the mean of its divisors is an integer number (1290647358).

Almost surely, 2^87627157254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87627157254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123902146368).

87627157254 is an abundant number, since it is smaller than the sum of its proper divisors (160177135482).

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

87627157254 is a wasteful number, since it uses less digits than its factorization.

87627157254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4956 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 87627157254 in words is "eighty-seven billion, six hundred twenty-seven million, one hundred fifty-seven thousand, two hundred fifty-four".