1087623379200 has 216 divisors, whose sum is σ = 3638558068768. Its totient is φ = 286059479040.

The previous prime is 1087623379159. The next prime is 1087623379211. The reversal of 1087623379200 is 29733267801.

It is a super-2 number, since 2×1087623379200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1087623379200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013607 + ... + 1789593.

Almost surely, 2^{1087623379200} is an apocalyptic number.

1087623379200 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 1087623379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819279034384).

1087623379200 is an abundant number, since it is smaller than the sum of its proper divisors (2550934689568).

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

1087623379200 is an equidigital number, since it uses as much as digits as its factorization.

1087623379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776089 (or 776070 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 1087623379200 in words is "one trillion, eighty-seven billion, six hundred twenty-three million, three hundred seventy-nine thousand, two hundred".