53408901000 has 768 divisors, whose sum is σ = 209656512000. Its totient is φ = 11082240000.

The previous prime is 53408900999. The next prime is 53408901017. The reversal of 53408901000 is 10980435.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 358448926 + ... + 358449074.

It is an arithmetic number, because the mean of its divisors is an integer number (272990250).

Almost surely, 2^53408901000 is an apocalyptic number.

53408901000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53408901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104828256000).

53408901000 is an abundant number, since it is smaller than the sum of its proper divisors (156247611000).

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

53408901000 is a wasteful number, since it uses less digits than its factorization.

53408901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 53408901000 in words is "fifty-three billion, four hundred eight million, nine hundred one thousand".