50984060400 has 720 divisors, whose sum is σ = 229247549440. Its totient is φ = 10189670400.

The previous prime is 50984060353. The next prime is 50984060401. The reversal of 50984060400 is 406048905.

50984060400 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 40 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50984060401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6220305 + ... + 6228495.

Almost surely, 2^50984060400 is an apocalyptic number.

50984060400 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 50984060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114623774720).

50984060400 is an abundant number, since it is smaller than the sum of its proper divisors (178263489040).

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

50984060400 is a wasteful number, since it uses less digits than its factorization.

50984060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 50984060400 in words is "fifty billion, nine hundred eighty-four million, sixty thousand, four hundred".