49012866201600 has 720 divisors, whose sum is σ = 207466650190800. Its totient is φ = 11202934210560.

The previous prime is 49012866201589. The next prime is 49012866201619. The reversal of 49012866201600 is 610266821094.

49012866201600 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 2 + 8 + 6 + 620 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×49012866201600² (a number of 28 digits) contains 22 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 59 ways as a sum of consecutive naturals, for example, 28186236 + ... + 29874564.

It is an arithmetic number, because the mean of its divisors is an integer number (288148125265).

Almost surely, 2^{49012866201600} is an apocalyptic number.

49012866201600 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 49012866201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103733325095400).

49012866201600 is an abundant number, since it is smaller than the sum of its proper divisors (158453783989200).

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

49012866201600 is a wasteful number, since it uses less digits than its factorization.

49012866201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688380 (or 1688346 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 49012866201600 in words is "forty-nine trillion, twelve billion, eight hundred sixty-six million, two hundred one thousand, six hundred".