87748973706240 has 5632 divisors, whose sum is σ = 420768350208000. Its totient is φ = 17382010060800.

The previous prime is 87748973706223. The next prime is 87748973706263. The reversal of 87748973706240 is 4260737984778.

87748973706240 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 8 + 9 + 7 + 370 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (5632).

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1309686174687 + ... + 1309686174753.

Almost surely, 2^{87748973706240} is an apocalyptic number.

87748973706240 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 87748973706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210384175104000).

87748973706240 is an abundant number, since it is smaller than the sum of its proper divisors (333019376501760).

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

87748973706240 is an equidigital number, since it uses as much as digits as its factorization.

87748973706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 87748973706240 in words is "eighty-seven trillion, seven hundred forty-eight billion, nine hundred seventy-three million, seven hundred six thousand, two hundred forty".