54069700608000 has 5760 divisors, whose sum is σ = 270075810041856. Its totient is φ = 10446962688000.

The previous prime is 54069700607999. The next prime is 54069700608029. The reversal of 54069700608000 is 80600796045.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 651442175959 + ... + 651442176041.

Almost surely, 2^{54069700608000} is an apocalyptic number.

54069700608000 is a gapful number since it is divisible by the number (50) 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 54069700608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135037905020928).

54069700608000 is an abundant number, since it is smaller than the sum of its proper divisors (216006109433856).

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

54069700608000 is an equidigital number, since it uses as much as digits as its factorization.

54069700608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 54069700608000 in words is "fifty-four trillion, sixty-nine billion, seven hundred million, six hundred eight thousand".