116290952640000 has 800 divisors, whose sum is σ = 441775788870240. Its totient is φ = 30172704768000.

The previous prime is 116290952639999. The next prime is 116290952640013. The reversal of 116290952640000 is 46259092611.

116290952640000 is a `hidden beast` number, since 1 + 16 + 290 + 95 + 264 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 319498114 + ... + 319861886.

Almost surely, 2^{116290952640000} is an apocalyptic number.

116290952640000 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 116290952640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220887894435120).

116290952640000 is an abundant number, since it is smaller than the sum of its proper divisors (325484836230240).

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

116290952640000 is an frugal number, since it uses more digits than its factorization.

116290952640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363857 (or 363820 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 116290952640000 in words is "one hundred sixteen trillion, two hundred ninety billion, nine hundred fifty-two million, six hundred forty thousand".