50663157350400 has 2700 divisors, whose sum is σ = 222616744678944. Its totient is φ = 11157228748800.

The previous prime is 50663157350383. The next prime is 50663157350413. The reversal of 50663157350400 is 405375136605.

50663157350400 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 31 + 573 + 5 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a super-2 number, since 2×50663157350400² (a number of 28 digits) contains 22 as substring.

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 179 ways as a sum of consecutive naturals, for example, 223185715087 + ... + 223185715313.

Almost surely, 2^{50663157350400} is an apocalyptic number.

50663157350400 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 50663157350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111308372339472).

50663157350400 is an abundant number, since it is smaller than the sum of its proper divisors (171953587328544).

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

50663157350400 is an equidigital number, since it uses as much as digits as its factorization.

50663157350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 50663157350400 in words is "fifty trillion, six hundred sixty-three billion, one hundred fifty-seven million, three hundred fifty thousand, four hundred".