49922611200 has 1728 divisors, whose sum is σ = 236178633600. Its totient is φ = 10218700800.

The previous prime is 49922611181. The next prime is 49922611241. The reversal of 49922611200 is 211622994.

49922611200 = 69³ + 70³ + ... + 668³.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 745113567 + ... + 745113633.

It is an arithmetic number, because the mean of its divisors is an integer number (136677450).

Almost surely, 2^49922611200 is an apocalyptic number.

49922611200 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 49922611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118089316800).

49922611200 is an abundant number, since it is smaller than the sum of its proper divisors (186256022400).

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

49922611200 is a wasteful number, since it uses less digits than its factorization.

49922611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 49922611200 in words is "forty-nine billion, nine hundred twenty-two million, six hundred eleven thousand, two hundred".