117028766822400 has 3120 divisors, whose sum is σ = 486108832543488. Its totient is φ = 27688697856000.

The previous prime is 117028766822323. The next prime is 117028766822453. The reversal of 117028766822400 is 4228667820711.

117028766822400 is a `hidden beast` number, since 1 + 1 + 70 + 28 + 76 + 6 + 82 + 2 + 400 = 666.

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 239 ways as a sum of consecutive naturals, for example, 179217100474 + ... + 179217101126.

Almost surely, 2^{117028766822400} is an apocalyptic number.

117028766822400 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 117028766822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243054416271744).

117028766822400 is an abundant number, since it is smaller than the sum of its proper divisors (369080065721088).

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

117028766822400 is a wasteful number, since it uses less digits than its factorization.

117028766822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 117028766822400 in words is "one hundred seventeen trillion, twenty-eight billion, seven hundred sixty-six million, eight hundred twenty-two thousand, four hundred".