1087700304600 has 1728 divisors, whose sum is σ = 4801372692480. Its totient is φ = 218453760000.

The previous prime is 1087700304583. The next prime is 1087700304623. The reversal of 1087700304600 is 64030077801.

1087700304600 is a `hidden beast` number, since 10 + 8 + 7 + 7 + 0 + 0 + 30 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2523666385 + ... + 2523666815.

It is an arithmetic number, because the mean of its divisors is an integer number (2778572160).

Almost surely, 2^{1087700304600} is an apocalyptic number.

1087700304600 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 1087700304600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400686346240).

1087700304600 is an abundant number, since it is smaller than the sum of its proper divisors (3713672387880).

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

1087700304600 is a wasteful number, since it uses less digits than its factorization.

1087700304600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1087700304600 in words is "one trillion, eighty-seven billion, seven hundred million, three hundred four thousand, six hundred".