54150378906624 has 2816 divisors, whose sum is σ = 221632333332480. Its totient is φ = 11277812367360.

The previous prime is 54150378906623. The next prime is 54150378906629. The reversal of 54150378906624 is 42660987305145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×54150378906624² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54150378906623) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34868240632 + ... + 34868242184.

It is a 1-persistent number, because it is pandigital, but 2⋅54150378906624 = 108300757813248 is not.

Almost surely, 2^{54150378906624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54150378906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110816166666240).

54150378906624 is an abundant number, since it is smaller than the sum of its proper divisors (167481954425856).

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

54150378906624 is a wasteful number, since it uses less digits than its factorization.

54150378906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 54150378906624 in words is "fifty-four trillion, one hundred fifty billion, three hundred seventy-eight million, nine hundred six thousand, six hundred twenty-four".