54035942400000 has 3360 divisors, whose sum is σ = 231919287215616. Its totient is φ = 12408422400000.

The previous prime is 54035942399983. The next prime is 54035942400001. The reversal of 54035942400000 is 424953045.

It is a happy number.

54035942400000 is a `hidden beast` number, since 5 + 40 + 3 + 594 + 24 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×54035942400000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (54035942400001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 524620799949 + ... + 524620800051.

Almost surely, 2^{54035942400000} is an apocalyptic number.

54035942400000 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 54035942400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115959643607808).

54035942400000 is an abundant number, since it is smaller than the sum of its proper divisors (177883344815616).

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

54035942400000 is an equidigital number, since it uses as much as digits as its factorization.

54035942400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 54035942400000 in words is "fifty-four trillion, thirty-five billion, nine hundred forty-two million, four hundred thousand".