87065613512640 has 420 divisors, whose sum is σ = 360272232779976. Its totient is φ = 19900711369728.

The previous prime is 87065613512617. The next prime is 87065613512641. The reversal of 87065613512640 is 4621531656078.

It is a happy number.

87065613512640 is a `hidden beast` number, since 8 + 7 + 0 + 6 + 5 + 61 + 3 + 512 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87065613512641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33005562 + ... + 35545721.

Almost surely, 2^{87065613512640} is an apocalyptic number.

87065613512640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87065613512640 is an abundant number, since it is smaller than the sum of its proper divisors (273206619267336).

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

87065613512640 is a wasteful number, since it uses less digits than its factorization.

87065613512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68551326 (or 68551300 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 87065613512640 in words is "eighty-seven trillion, sixty-five billion, six hundred thirteen million, five hundred twelve thousand, six hundred forty".