116154056557440 has 3840 divisors, whose sum is σ = 501112846080000. Its totient is φ = 25521205248000.

The previous prime is 116154056557439. The next prime is 116154056557453. The reversal of 116154056557440 is 44755650451611.

116154056557440 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 5 + 4 + 0 + 5 + 65 + 574 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 550493158935 + ... + 550493159145.

It is an arithmetic number, because the mean of its divisors is an integer number (130498137000).

Almost surely, 2^{116154056557440} is an apocalyptic number.

116154056557440 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 116154056557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250556423040000).

116154056557440 is an abundant number, since it is smaller than the sum of its proper divisors (384958789522560).

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

116154056557440 is a wasteful number, since it uses less digits than its factorization.

116154056557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 116154056557440 in words is "one hundred sixteen trillion, one hundred fifty-four billion, fifty-six million, five hundred fifty-seven thousand, four hundred forty".