49786298654400 has 5040 divisors, whose sum is σ = 247212498077952. Its totient is φ = 9543204864000.

The previous prime is 49786298654369. The next prime is 49786298654447. The reversal of 49786298654400 is 445689268794.

49786298654400 is a `hidden beast` number, since 4 + 9 + 7 + 86 + 2 + 98 + 6 + 54 + 400 = 666.

49786298654400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×49786298654400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 175923316659 + ... + 175923316941.

Almost surely, 2^{49786298654400} is an apocalyptic number.

49786298654400 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 49786298654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123606249038976).

49786298654400 is an abundant number, since it is smaller than the sum of its proper divisors (197426199423552).

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

49786298654400 is a wasteful number, since it uses less digits than its factorization.

49786298654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 49786298654400 in words is "forty-nine trillion, seven hundred eighty-six billion, two hundred ninety-eight million, six hundred fifty-four thousand, four hundred".