87048260640 has 1152 divisors, whose sum is σ = 362242782720. Its totient is φ = 18785894400.

The previous prime is 87048260639. The next prime is 87048260659. The reversal of 87048260640 is 4606284078.

87048260640 is a `hidden beast` number, since 8 + 70 + 482 + 60 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 554447442 + ... + 554447598.

It is an arithmetic number, because the mean of its divisors is an integer number (314446860).

Almost surely, 2^87048260640 is an apocalyptic number.

87048260640 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 87048260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181121391360).

87048260640 is an abundant number, since it is smaller than the sum of its proper divisors (275194522080).

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

87048260640 is a wasteful number, since it uses less digits than its factorization.

87048260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

It can be divided in two parts, 87048260 and 640, that added together give a square (87048900 = 9330²).

The spelling of 87048260640 in words is "eighty-seven billion, forty-eight million, two hundred sixty thousand, six hundred forty".