49070775600 has 1350 divisors, whose sum is σ = 229367732100. Its totient is φ = 9659865600.

The previous prime is 49070775557. The next prime is 49070775601. The reversal of 49070775600 is 657707094.

49070775600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×49070775600³ (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 not an unprimeable number, because it can be changed into a prime (49070775601) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 2582672391 + ... + 2582672409.

Almost surely, 2^49070775600 is an apocalyptic number.

49070775600 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 49070775600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114683866050).

49070775600 is an abundant number, since it is smaller than the sum of its proper divisors (180296956500).

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

49070775600 is a wasteful number, since it uses less digits than its factorization.

49070775600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 49070775600 in words is "forty-nine billion, seventy million, seven hundred seventy-five thousand, six hundred".