54590292263232 has 420 divisors, whose sum is σ = 180308006734548. Its totient is φ = 16315889356800.

The previous prime is 54590292263179. The next prime is 54590292263237. The reversal of 54590292263232 is 23236229209545.

It is a happy number.

54590292263232 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 0 + 292 + 26 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15264148908096 + 39326143355136 = 3906936^2 + 6271056^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54590292263237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45194182 + ... + 46386362.

Almost surely, 2^{54590292263232} 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 54590292263232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90154003367274).

54590292263232 is an abundant number, since it is smaller than the sum of its proper divisors (125717714471316).

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

54590292263232 is a wasteful number, since it uses less digits than its factorization.

54590292263232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192300 (or 1192270 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 54590292263232 in words is "fifty-four trillion, five hundred ninety billion, two hundred ninety-two million, two hundred sixty-three thousand, two hundred thirty-two".