49087036800 has 960 divisors, whose sum is σ = 192831408000. Its totient is φ = 12275712000.

The previous prime is 49087036721. The next prime is 49087036811. The reversal of 49087036800 is 863078094.

It is a happy number.

49087036800 is a `hidden beast` number, since 490 + 87 + 0 + 3 + 6 + 80 + 0 = 666.

49087036800 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 (960).

It is a super-3 number, since 3×49087036800³ (a number of 33 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 329443126 + ... + 329443274.

It is an arithmetic number, because the mean of its divisors is an integer number (200866050).

Almost surely, 2^49087036800 is an apocalyptic number.

49087036800 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 49087036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96415704000).

49087036800 is an abundant number, since it is smaller than the sum of its proper divisors (143744371200).

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

49087036800 is a wasteful number, since it uses less digits than its factorization.

49087036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

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

The spelling of 49087036800 in words is "forty-nine billion, eighty-seven million, thirty-six thousand, eight hundred".