10987890278400 has 1140 divisors, whose sum is σ = 46537635107568. Its totient is φ = 2510668431360.

The previous prime is 10987890278381. The next prime is 10987890278401. The reversal of 10987890278400 is 487209878901.

10987890278400 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 78 + 90 + 2 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10987890278401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3715889722 + ... + 3715892678.

Almost surely, 2^{10987890278400} is an apocalyptic number.

10987890278400 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 10987890278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23268817553784).

10987890278400 is an abundant number, since it is smaller than the sum of its proper divisors (35549744829168).

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

10987890278400 is an frugal number, since it uses more digits than its factorization.

10987890278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 10987890278400 in words is "ten trillion, nine hundred eighty-seven billion, eight hundred ninety million, two hundred seventy-eight thousand, four hundred".