50072774400 has 648 divisors, whose sum is σ = 202598532864. Its totient is φ = 12134707200.

The previous prime is 50072774371. The next prime is 50072774417. The reversal of 50072774400 is 447727005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×50072774400² (a number of 22 digits) contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17105737 + ... + 17108663.

Almost surely, 2^50072774400 is an apocalyptic number.

50072774400 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 50072774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101299266432).

50072774400 is an abundant number, since it is smaller than the sum of its proper divisors (152525758464).

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

50072774400 is a wasteful number, since it uses less digits than its factorization.

50072774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The spelling of 50072774400 in words is "fifty billion, seventy-two million, seven hundred seventy-four thousand, four hundred".