50193901670400 has 1560 divisors, whose sum is σ = 203235540735744. Its totient is φ = 12190246502400.

The previous prime is 50193901670257. The next prime is 50193901670411. The reversal of 50193901670400 is 407610939105.

50193901670400 is a `hidden beast` number, since 5 + 0 + 1 + 93 + 90 + 1 + 6 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4371143059 + ... + 4371154541.

Almost surely, 2^{50193901670400} is an apocalyptic number.

50193901670400 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 50193901670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101617770367872).

50193901670400 is an abundant number, since it is smaller than the sum of its proper divisors (153041639065344).

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

50193901670400 is a wasteful number, since it uses less digits than its factorization.

50193901670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11577 (or 11541 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 50193901670400 in words is "fifty trillion, one hundred ninety-three billion, nine hundred one million, six hundred seventy thousand, four hundred".