1087582399488 has 528 divisors, whose sum is σ = 3591235773216. Its totient is φ = 314045890560.

The previous prime is 1087582399483. The next prime is 1087582399571. The reversal of 1087582399488 is 8849932857801.

1087582399488 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 58 + 2 + 3 + 99 + 488 = 666.

1087582399488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1087582399481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065212418 + ... + 1065213438.

Almost surely, 2^{1087582399488} is an apocalyptic number.

1087582399488 is a gapful number since it is divisible by the number (18) 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 1087582399488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795617886608).

1087582399488 is an abundant number, since it is smaller than the sum of its proper divisors (2503653373728).

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

1087582399488 is a wasteful number, since it uses less digits than its factorization.

1087582399488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 1087582399488 in words is "one trillion, eighty-seven billion, five hundred eighty-two million, three hundred ninety-nine thousand, four hundred eighty-eight".