1087177728600 has 384 divisors, whose sum is σ = 3800637696000. Its totient is φ = 285601904640.

The previous prime is 1087177728599. The next prime is 1087177728601. The reversal of 1087177728600 is 68277717801.

1087177728600 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 1 + 7 + 7 + 7 + 28 + 600 = 666.

1087177728600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1087177728599) and next prime (1087177728601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087177728601) 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, 207751584 + ... + 207756816.

It is an arithmetic number, because the mean of its divisors is an integer number (9897494000).

Almost surely, 2^{1087177728600} is an apocalyptic number.

1087177728600 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 1087177728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900318848000).

1087177728600 is an abundant number, since it is smaller than the sum of its proper divisors (2713459967400).

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

1087177728600 is a wasteful number, since it uses less digits than its factorization.

1087177728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 54.

The spelling of 1087177728600 in words is "one trillion, eighty-seven billion, one hundred seventy-seven million, seven hundred twenty-eight thousand, six hundred".