54953994438000 has 1920 divisors, whose sum is σ = 237899690016768. Its totient is φ = 11547360000000.

The previous prime is 54953994437957. The next prime is 54953994438053. The reversal of 54953994438000 is 83449935945.

54953994438000 is a `hidden beast` number, since 5 + 4 + 9 + 539 + 94 + 4 + 3 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 13565535975 + ... + 13565540025.

Almost surely, 2^{54953994438000} is an apocalyptic number.

54953994438000 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 54953994438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118949845008384).

54953994438000 is an abundant number, since it is smaller than the sum of its proper divisors (182945695578768).

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

54953994438000 is a wasteful number, since it uses less digits than its factorization.

54953994438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

It can be divided in two parts, 5495399 and 4438000, that added together give a palindrome (9933399).

The spelling of 54953994438000 in words is "fifty-four trillion, nine hundred fifty-three billion, nine hundred ninety-four million, four hundred thirty-eight thousand".