53408411910000 has 1500 divisors, whose sum is σ = 225173595884160. Its totient is φ = 12181881600000.

The previous prime is 53408411909981. The next prime is 53408411910011. The reversal of 53408411910000 is 1911480435.

53408411910000 is a `hidden beast` number, since 534 + 0 + 8 + 4 + 1 + 19 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 23853688881 + ... + 23853691119.

Almost surely, 2^{53408411910000} is an apocalyptic number.

53408411910000 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 53408411910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112586797942080).

53408411910000 is an abundant number, since it is smaller than the sum of its proper divisors (171765183974160).

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

53408411910000 is a wasteful number, since it uses less digits than its factorization.

53408411910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 53408411910000 in words is "fifty-three trillion, four hundred eight billion, four hundred eleven million, nine hundred ten thousand".