54125890420900 has 81 divisors (see below), whose sum is σ = 118078304073219. Its totient is φ = 21535733640960.

The previous prime is 54125890420867. The next prime is 54125890420933. The reversal of 54125890420900 is 902409852145.

The square root of 54125890420900 is 7357030.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (54125890420867) and next prime (54125890420933).

It can be written as a sum of positive squares in 4 ways, for example, as 18465979406436 + 35659911014464 = 4297206^2 + 5971592^2 .

It is a super-2 number, since 2×54125890420900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 14640487852 + ... + 14640491548.

Almost surely, 2^{54125890420900} is an apocalyptic number.

54125890420900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54125890420900 is the 7357030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54125890420900

54125890420900 is an abundant number, since it is smaller than the sum of its proper divisors (63952413652319).

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

54125890420900 is an frugal number, since it uses more digits than its factorization.

54125890420900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 54125890420900 in words is "fifty-four trillion, one hundred twenty-five billion, eight hundred ninety million, four hundred twenty thousand, nine hundred".