54416078471520 has 480 divisors, whose sum is σ = 202492396925280. Its totient is φ = 13724000501760.

The previous prime is 54416078471507. The next prime is 54416078471533. The reversal of 54416078471520 is 2517487061445.

It is a happy number.

54416078471520 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 6 + 0 + 78 + 47 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (54416078471507) and next prime (54416078471533).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×54416078471520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145833990 + ... + 146206650.

It is an arithmetic number, because the mean of its divisors is an integer number (421859160261).

Almost surely, 2^{54416078471520} 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 54416078471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101246198462640).

54416078471520 is an abundant number, since it is smaller than the sum of its proper divisors (148076318453760).

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

54416078471520 is a wasteful number, since it uses less digits than its factorization.

54416078471520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373300 (or 373283 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 54416078471520 in words is "fifty-four trillion, four hundred sixteen billion, seventy-eight million, four hundred seventy-one thousand, five hundred twenty".