54212623920000 has 5760 divisors, whose sum is σ = 265126193085600. Its totient is φ = 10799308800000.

The previous prime is 54212623919963. The next prime is 54212623920001. The reversal of 54212623920000 is 2932621245.

54212623920000 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 2 + 623 + 9 + 20 + 0 + 0 + 0 = 666.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54212623920001) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1322259119980 + ... + 1322259120020.

Almost surely, 2^{54212623920000} is an apocalyptic number.

54212623920000 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 54212623920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132563096542800).

54212623920000 is an abundant number, since it is smaller than the sum of its proper divisors (210913569165600).

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

54212623920000 is a wasteful number, since it uses less digits than its factorization.

54212623920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 54212623920000 in words is "fifty-four trillion, two hundred twelve billion, six hundred twenty-three million, nine hundred twenty thousand".