87969162378240 has 2816 divisors, whose sum is σ = 380527471779840. Its totient is φ = 18987991695360.

The previous prime is 87969162378187. The next prime is 87969162378271. The reversal of 87969162378240 is 4287326196978.

87969162378240 is a `hidden beast` number, since 8 + 7 + 9 + 6 + 9 + 1 + 6 + 2 + 378 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67825105272 + ... + 67825106568.

It is an arithmetic number, because the mean of its divisors is an integer number (135130494240).

Almost surely, 2^{87969162378240} is an apocalyptic number.

87969162378240 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 87969162378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190263735889920).

87969162378240 is an abundant number, since it is smaller than the sum of its proper divisors (292558309401600).

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

87969162378240 is a wasteful number, since it uses less digits than its factorization.

87969162378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 87969162378240 in words is "eighty-seven trillion, nine hundred sixty-nine billion, one hundred sixty-two million, three hundred seventy-eight thousand, two hundred forty".