87745289748480 has 3840 divisors, whose sum is σ = 407898463357440. Its totient is φ = 17708366168064.

The previous prime is 87745289748451. The next prime is 87745289748509. The reversal of 87745289748480 is 8484798254778.

87745289748480 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 5 + 2 + 8 + 97 + 48 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (87745289748451) and next prime (87745289748509).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 87745289748480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3815012597749 + ... + 3815012597771.

It is an arithmetic number, because the mean of its divisors is an integer number (106223558166).

Almost surely, 2^{87745289748480} is an apocalyptic number.

87745289748480 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 87745289748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203949231678720).

87745289748480 is an abundant number, since it is smaller than the sum of its proper divisors (320153173608960).

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

87745289748480 is an frugal number, since it uses more digits than its factorization.

87745289748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8092385280, while the sum is 81.

The spelling of 87745289748480 in words is "eighty-seven trillion, seven hundred forty-five billion, two hundred eighty-nine million, seven hundred forty-eight thousand, four hundred eighty".