53419766400 has 2304 divisors, whose sum is σ = 273469996800. Its totient is φ = 9555148800.

The previous prime is 53419766359. The next prime is 53419766429. The reversal of 53419766400 is 466791435.

53419766400 is a `hidden beast` number, since 53 + 4 + 197 + 6 + 6 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 490089546 + ... + 490089654.

It is an arithmetic number, because the mean of its divisors is an integer number (118693575).

Almost surely, 2^53419766400 is an apocalyptic number.

53419766400 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 53419766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136734998400).

53419766400 is an abundant number, since it is smaller than the sum of its proper divisors (220050230400).

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

53419766400 is a wasteful number, since it uses less digits than its factorization.

53419766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 53419766400 in words is "fifty-three billion, four hundred nineteen million, seven hundred sixty-six thousand, four hundred".