87745059378144 has 72 divisors (see below), whose sum is σ = 285171442985520. Its totient is φ = 25070016964608.

The previous prime is 87745059378133. The next prime is 87745059378169. The reversal of 87745059378144 is 44187395054778.

It is a happy number.

87745059378144 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 505 + 9 + 3 + 78 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 21762165489 + ... + 21762169520.

It is an arithmetic number, because the mean of its divisors is an integer number (3960714485910).

Almost surely, 2^{87745059378144} is an apocalyptic number.

87745059378144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87745059378144 is an abundant number, since it is smaller than the sum of its proper divisors (197426383607376).

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

87745059378144 is a wasteful number, since it uses less digits than its factorization.

87745059378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43524335032 (or 43524335021 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 87745059378144 in words is "eighty-seven trillion, seven hundred forty-five billion, fifty-nine million, three hundred seventy-eight thousand, one hundred forty-four".