49979001600 has 972 divisors, whose sum is σ = 201145469616. Its totient is φ = 11827200000.

The previous prime is 49979001593. The next prime is 49979001601. The reversal of 49979001600 is 610097994.

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 (49979001601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 494841550 + ... + 494841650.

Almost surely, 2^49979001600 is an apocalyptic number.

49979001600 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 49979001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100572734808).

49979001600 is an abundant number, since it is smaller than the sum of its proper divisors (151166468016).

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

49979001600 is a wasteful number, since it uses less digits than its factorization.

49979001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 49979001600 in words is "forty-nine billion, nine hundred seventy-nine million, one thousand, six hundred".