87856052544 has 280 divisors, whose sum is σ = 282071734560. Its totient is φ = 26877920256.

The previous prime is 87856052491. The next prime is 87856052621. The reversal of 87856052544 is 44525065878.

87856052544 is a `hidden beast` number, since 8 + 7 + 8 + 5 + 605 + 25 + 4 + 4 = 666.

It is a super-2 number, since 2×87856052544² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12059527 + ... + 12066809.

It is an arithmetic number, because the mean of its divisors is an integer number (1007399052).

Almost surely, 2^87856052544 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 87856052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141035867280).

87856052544 is an abundant number, since it is smaller than the sum of its proper divisors (194215682016).

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

87856052544 is a wasteful number, since it uses less digits than its factorization.

87856052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7499 (or 7480 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 87856052544 in words is "eighty-seven billion, eight hundred fifty-six million, fifty-two thousand, five hundred forty-four".