49290235084800 has 1824 divisors, whose sum is σ = 194046587862400. Its totient is φ = 12383472844800.

The previous prime is 49290235084799. The next prime is 49290235084801. The reversal of 49290235084800 is 848053209294.

49290235084800 is a `hidden beast` number, since 4 + 9 + 2 + 90 + 2 + 3 + 508 + 48 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49290235084799) and next prime (49290235084801).

It is a tau number, because it is divible by the number of its divisors (1824).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49290235084801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 272321740710 + ... + 272321740890.

Almost surely, 2^{49290235084800} is an apocalyptic number.

49290235084800 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 49290235084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97023293931200).

49290235084800 is an abundant number, since it is smaller than the sum of its proper divisors (144756352777600).

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

49290235084800 is an frugal number, since it uses more digits than its factorization.

49290235084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 49290235084800 in words is "forty-nine trillion, two hundred ninety billion, two hundred thirty-five million, eighty-four thousand, eight hundred".