49212331593600 has 384 divisors, whose sum is σ = 185367592500480. Its totient is φ = 11241348710400.

The previous prime is 49212331593583. The next prime is 49212331593619. The reversal of 49212331593600 is 639513321294.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 49212331593600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105338124 + ... + 105804276.

It is an arithmetic number, because the mean of its divisors is an integer number (482728105470).

Almost surely, 2^{49212331593600} is an apocalyptic number.

49212331593600 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 49212331593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92683796250240).

49212331593600 is an abundant number, since it is smaller than the sum of its proper divisors (136155260906880).

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

49212331593600 is a wasteful number, since it uses less digits than its factorization.

49212331593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467758 (or 467741 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 49212331593600 in words is "forty-nine trillion, two hundred twelve billion, three hundred thirty-one million, five hundred ninety-three thousand, six hundred".