1087630155040 has 384 divisors, whose sum is σ = 3084319171584. Its totient is φ = 357187584000.

The previous prime is 1087630155019. The next prime is 1087630155071. The reversal of 1087630155040 is 405510367801.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1087630154984 and 1087630155002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 522646800 + ... + 522648880.

It is an arithmetic number, because the mean of its divisors is an integer number (8032081176).

Almost surely, 2^{1087630155040} is an apocalyptic number.

1087630155040 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 1087630155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542159585792).

1087630155040 is an abundant number, since it is smaller than the sum of its proper divisors (1996689016544).

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

1087630155040 is a wasteful number, since it uses less digits than its factorization.

1087630155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1087630155040 in words is "one trillion, eighty-seven billion, six hundred thirty million, one hundred fifty-five thousand, forty".