49937223772800 has 2304 divisors, whose sum is σ = 228006892339200. Its totient is φ = 10450525962240.

The previous prime is 49937223772783. The next prime is 49937223772817. The reversal of 49937223772800 is 827732273994.

49937223772800 is a `hidden beast` number, since 4 + 9 + 9 + 372 + 237 + 7 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49937223772783) and next prime (49937223772817).

It is a super-3 number, since 3×49937223772800³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 12980820477 + ... + 12980824323.

It is an arithmetic number, because the mean of its divisors is an integer number (98961324800).

Almost surely, 2^{49937223772800} is an apocalyptic number.

49937223772800 is a gapful number since it is divisible by the number (40) 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 49937223772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114003446169600).

49937223772800 is an abundant number, since it is smaller than the sum of its proper divisors (178069668566400).

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

49937223772800 is a wasteful number, since it uses less digits than its factorization.

49937223772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 49937223772800 in words is "forty-nine trillion, nine hundred thirty-seven billion, two hundred twenty-three million, seven hundred seventy-two thousand, eight hundred".