54295629400320 has 1728 divisors, whose sum is σ = 242790890711040. Its totient is φ = 10059483709440.

The previous prime is 54295629400319. The next prime is 54295629400333. The reversal of 54295629400320 is 2300492659245.

It is a happy number.

It is a super-2 number, since 2×54295629400320² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1050525199 + ... + 1050576881.

It is an arithmetic number, because the mean of its divisors is an integer number (140503987680).

Almost surely, 2^{54295629400320} 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 54295629400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121395445355520).

54295629400320 is an abundant number, since it is smaller than the sum of its proper divisors (188495261310720).

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

54295629400320 is a wasteful number, since it uses less digits than its factorization.

54295629400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51772 (or 51747 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 54295629400320 in words is "fifty-four trillion, two hundred ninety-five billion, six hundred twenty-nine million, four hundred thousand, three hundred twenty".