1087604667072 has 560 divisors, whose sum is σ = 4087749853440. Its totient is φ = 277700659200.

The previous prime is 1087604667041. The next prime is 1087604667101. The reversal of 1087604667072 is 2707664067801.

1087604667072 is a `hidden beast` number, since 108 + 7 + 6 + 0 + 466 + 7 + 0 + 72 = 666.

It is a super-2 number, since 2×1087604667072² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23527822 + ... + 23574002.

Almost surely, 2^{1087604667072} is an apocalyptic number.

1087604667072 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 1087604667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043874926720).

1087604667072 is an abundant number, since it is smaller than the sum of its proper divisors (3000145186368).

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

1087604667072 is a wasteful number, since it uses less digits than its factorization.

1087604667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46282 (or 46263 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1087604667072 in words is "one trillion, eighty-seven billion, six hundred four million, six hundred sixty-seven thousand, seventy-two".