50829261008400 has 1440 divisors, whose sum is σ = 213743132778240. Its totient is φ = 10926949662720.

The previous prime is 50829261008387. The next prime is 50829261008411. The reversal of 50829261008400 is 480016292805.

50829261008400 is a `hidden beast` number, since 5 + 0 + 8 + 29 + 2 + 610 + 0 + 8 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×50829261008400² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75080148862 + ... + 75080149538.

It is an arithmetic number, because the mean of its divisors is an integer number (148432731096).

Almost surely, 2^{50829261008400} is an apocalyptic number.

50829261008400 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 50829261008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106871566389120).

50829261008400 is an abundant number, since it is smaller than the sum of its proper divisors (162913871769840).

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

50829261008400 is a wasteful number, since it uses less digits than its factorization.

50829261008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 50829261008400 in words is "fifty trillion, eight hundred twenty-nine billion, two hundred sixty-one million, eight thousand, four hundred".