50827392000 has 1408 divisors, whose sum is σ = 235437096960. Its totient is φ = 10506240000.

The previous prime is 50827391983. The next prime is 50827392061. The reversal of 50827392000 is 29372805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1408).

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 127 ways as a sum of consecutive naturals, for example, 266111905 + ... + 266112095.

Almost surely, 2^50827392000 is an apocalyptic number.

50827392000 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 50827392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117718548480).

50827392000 is an abundant number, since it is smaller than the sum of its proper divisors (184609704960).

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

50827392000 is a wasteful number, since it uses less digits than its factorization.

50827392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 50827392000 in words is "fifty billion, eight hundred twenty-seven million, three hundred ninety-two thousand".