49786401600 has 336 divisors, whose sum is σ = 195452837440. Its totient is φ = 12254976000.

The previous prime is 49786401583. The next prime is 49786401629. The reversal of 49786401600 is 610468794.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 517275 + ... + 605925.

Almost surely, 2^49786401600 is an apocalyptic number.

49786401600 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 49786401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97726418720).

49786401600 is an abundant number, since it is smaller than the sum of its proper divisors (145666435840).

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

49786401600 is a wasteful number, since it uses less digits than its factorization.

49786401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88695 (or 88674 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49786401600 in words is "forty-nine billion, seven hundred eighty-six million, four hundred one thousand, six hundred".