52890900480 has 1440 divisors, whose sum is σ = 227753285760. Its totient is φ = 11678515200.

The previous prime is 52890900431. The next prime is 52890900481. The reversal of 52890900480 is 8400909825.

52890900480 is a `hidden beast` number, since 5 + 2 + 89 + 0 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52890900481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1706158065 + ... + 1706158095.

It is an arithmetic number, because the mean of its divisors is an integer number (158162004).

Almost surely, 2^52890900480 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 52890900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113876642880).

52890900480 is an abundant number, since it is smaller than the sum of its proper divisors (174862385280).

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

52890900480 is a wasteful number, since it uses less digits than its factorization.

52890900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 52890900480 in words is "fifty-two billion, eight hundred ninety million, nine hundred thousand, four hundred eighty".