1087627907520 has 1344 divisors, whose sum is σ = 4931913692160. Its totient is φ = 213132902400.

The previous prime is 1087627907491. The next prime is 1087627907557. The reversal of 1087627907520 is 257097267801.

It is a happy number.

1087627907520 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 6 + 27 + 90 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1234537480 + ... + 1234538360.

It is an arithmetic number, because the mean of its divisors is an integer number (3669578640).

Almost surely, 2^{1087627907520} is an apocalyptic number.

1087627907520 is a gapful number since it is divisible by the number (10) 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 1087627907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465956846080).

1087627907520 is an abundant number, since it is smaller than the sum of its proper divisors (3844285784640).

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

1087627907520 is a wasteful number, since it uses less digits than its factorization.

1087627907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1087627907520 in words is "one trillion, eighty-seven billion, six hundred twenty-seven million, nine hundred seven thousand, five hundred twenty".