49792288582400 has 432 divisors, whose sum is σ = 151782132696768. Its totient is φ = 15748300800000.

The previous prime is 49792288582381. The next prime is 49792288582427. The reversal of 49792288582400 is 428588229794.

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, 932395700 + ... + 932449100.

Almost surely, 2^{49792288582400} is an apocalyptic number.

49792288582400 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 49792288582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75891066348384).

49792288582400 is an abundant number, since it is smaller than the sum of its proper divisors (101989844114368).

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

49792288582400 is a wasteful number, since it uses less digits than its factorization.

49792288582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55048 (or 55029 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 68.

The spelling of 49792288582400 in words is "forty-nine trillion, seven hundred ninety-two billion, two hundred eighty-eight million, five hundred eighty-two thousand, four hundred".