87446967552 has 576 divisors, whose sum is σ = 305556088320. Its totient is φ = 24455208960.

The previous prime is 87446967529. The next prime is 87446967557. The reversal of 87446967552 is 25576964478.

87446967552 is a `hidden beast` number, since 8 + 74 + 4 + 6 + 9 + 6 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 87446967552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87446967557) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207712302 + ... + 207712722.

It is an arithmetic number, because the mean of its divisors is an integer number (530479320).

Almost surely, 2^87446967552 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 87446967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152778044160).

87446967552 is an abundant number, since it is smaller than the sum of its proper divisors (218109120768).

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

87446967552 is an frugal number, since it uses more digits than its factorization.

87446967552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 486 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 87446967552 in words is "eighty-seven billion, four hundred forty-six million, nine hundred sixty-seven thousand, five hundred fifty-two".