53046470400 has 864 divisors, whose sum is σ = 222708745728. Its totient is φ = 10798694400.

The previous prime is 53046470359. The next prime is 53046470423. The reversal of 53046470400 is 407464035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78354862 + ... + 78355538.

It is an arithmetic number, because the mean of its divisors is an integer number (257764752).

Almost surely, 2^53046470400 is an apocalyptic number.

53046470400 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 53046470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111354372864).

53046470400 is an abundant number, since it is smaller than the sum of its proper divisors (169662275328).

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

53046470400 is a wasteful number, since it uses less digits than its factorization.

53046470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 53046470400 in words is "fifty-three billion, forty-six million, four hundred seventy thousand, four hundred".