52914470400 has 960 divisors, whose sum is σ = 219200256000. Its totient is φ = 12386304000.

The previous prime is 52914470359. The next prime is 52914470437. The reversal of 52914470400 is 407441925.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 117849376 + ... + 117849824.

It is an arithmetic number, because the mean of its divisors is an integer number (228333600).

Almost surely, 2^52914470400 is an apocalyptic number.

52914470400 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 52914470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109600128000).

52914470400 is an abundant number, since it is smaller than the sum of its proper divisors (166285785600).

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

52914470400 is a wasteful number, since it uses less digits than its factorization.

52914470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 52914470400 in words is "fifty-two billion, nine hundred fourteen million, four hundred seventy thousand, four hundred".