1087593740352 has 672 divisors, whose sum is σ = 3806439936000. Its totient is φ = 290013696000.

The previous prime is 1087593740351. The next prime is 1087593740459. The reversal of 1087593740352 is 2530473957801.

1087593740352 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 593 + 7 + 40 + 3 + 5 + 2 = 666.

1087593740352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1087593740351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1723603077 + ... + 1723603707.

Almost surely, 2^{1087593740352} is an apocalyptic number.

1087593740352 is a gapful number since it is divisible by the number (12) 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 1087593740352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903219968000).

1087593740352 is an abundant number, since it is smaller than the sum of its proper divisors (2718846195648).

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

1087593740352 is a wasteful number, since it uses less digits than its factorization.

1087593740352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 1087593740352 in words is "one trillion, eighty-seven billion, five hundred ninety-three million, seven hundred forty thousand, three hundred fifty-two".