54946032261120 has 4608 divisors, whose sum is σ = 266844824064000. Its totient is φ = 10090237132800.

The previous prime is 54946032261083. The next prime is 54946032261157. The reversal of 54946032261120 is 2116223064945.

54946032261120 is a `hidden beast` number, since 5 + 4 + 9 + 4 + 6 + 0 + 3 + 2 + 2 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (54946032261083) and next prime (54946032261157).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×54946032261120² (a number of 28 digits) contains 22 as substring.

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

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, 276110714781 + ... + 276110714979.

It is an arithmetic number, because the mean of its divisors is an integer number (57909033000).

Almost surely, 2^{54946032261120} 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 54946032261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133422412032000).

54946032261120 is an abundant number, since it is smaller than the sum of its proper divisors (211898791802880).

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

54946032261120 is a wasteful number, since it uses less digits than its factorization.

54946032261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 54946032261120 in words is "fifty-four trillion, nine hundred forty-six billion, thirty-two million, two hundred sixty-one thousand, one hundred twenty".