52098662400 has 768 divisors, whose sum is σ = 193081838400. Its totient is φ = 12331253760.

The previous prime is 52098662387. The next prime is 52098662401. The reversal of 52098662400 is 426689025.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (52098662401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211596779 + ... + 1211596821.

Almost surely, 2^52098662400 is an apocalyptic number.

52098662400 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 52098662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96540919200).

52098662400 is an abundant number, since it is smaller than the sum of its proper divisors (140983176000).

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

52098662400 is a wasteful number, since it uses less digits than its factorization.

52098662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 52098662400 in words is "fifty-two billion, ninety-eight million, six hundred sixty-two thousand, four hundred".