87840100712448 has 1040 divisors, whose sum is σ = 317011531393920. Its totient is φ = 23776267862016.

The previous prime is 87840100712437. The next prime is 87840100712471. The reversal of 87840100712448 is 84421700104878.

87840100712448 is a `hidden beast` number, since 8 + 7 + 84 + 0 + 100 + 7 + 12 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 87840100712394 and 87840100712403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4623163195383 + ... + 4623163195401.

Almost surely, 2^{87840100712448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87840100712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505765696960).

87840100712448 is an abundant number, since it is smaller than the sum of its proper divisors (229171430681472).

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

87840100712448 is an frugal number, since it uses more digits than its factorization.

87840100712448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 87840100712448 in words is "eighty-seven trillion, eight hundred forty billion, one hundred million, seven hundred twelve thousand, four hundred forty-eight".