1087467379200 has 1080 divisors, whose sum is σ = 4224418200288. Its totient is φ = 276890296320.

The previous prime is 1087467379189. The next prime is 1087467379261. The reversal of 1087467379200 is 29737647801.

1087467379200 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 67 + 379 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1931558119 + ... + 1931558681.

Almost surely, 2^{1087467379200} is an apocalyptic number.

1087467379200 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 1087467379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112209100144).

1087467379200 is an abundant number, since it is smaller than the sum of its proper divisors (3136950821088).

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

1087467379200 is an frugal number, since it uses more digits than its factorization.

1087467379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1087467379200 in words is "one trillion, eighty-seven billion, four hundred sixty-seven million, three hundred seventy-nine thousand, two hundred".