54379451520000 has 880 divisors, whose sum is σ = 203203077700480. Its totient is φ = 14359928832000.

The previous prime is 54379451519993. The next prime is 54379451520001. The reversal of 54379451520000 is 2515497345.

54379451520000 is a `hidden beast` number, since 5 + 4 + 3 + 79 + 4 + 51 + 520 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54379451520001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1779824724 + ... + 1779855276.

It is an arithmetic number, because the mean of its divisors is an integer number (230912588296).

Almost surely, 2^{54379451520000} is an apocalyptic number.

54379451520000 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 54379451520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101601538850240).

54379451520000 is an abundant number, since it is smaller than the sum of its proper divisors (148823626180480).

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

54379451520000 is a wasteful number, since it uses less digits than its factorization.

54379451520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30705 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 54379451520000 in words is "fifty-four trillion, three hundred seventy-nine billion, four hundred fifty-one million, five hundred twenty thousand".