87227671440 has 320 divisors, whose sum is σ = 339603264000. Its totient is φ = 18403854336.

The previous prime is 87227671423. The next prime is 87227671451. The reversal of 87227671440 is 4417672278.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87227671440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1029406 + ... + 1110914.

It is an arithmetic number, because the mean of its divisors is an integer number (1061260200).

Almost surely, 2^87227671440 is an apocalyptic number.

87227671440 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 87227671440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169801632000).

87227671440 is an abundant number, since it is smaller than the sum of its proper divisors (252375592560).

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

87227671440 is a wasteful number, since it uses less digits than its factorization.

87227671440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81559 (or 81539 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The spelling of 87227671440 in words is "eighty-seven billion, two hundred twenty-seven million, six hundred seventy-one thousand, four hundred forty".