49293921600 has 2016 divisors, whose sum is σ = 239130230400. Its totient is φ = 9754214400.

The previous prime is 49293921581. The next prime is 49293921619. The reversal of 49293921600 is 612939294.

It is a happy number.

49293921600 is a `hidden beast` number, since 4 + 9 + 2 + 9 + 39 + 2 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (49293921581) and next prime (49293921619).

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 675259164 + ... + 675259236.

Almost surely, 2^49293921600 is an apocalyptic number.

49293921600 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 49293921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119565115200).

49293921600 is an abundant number, since it is smaller than the sum of its proper divisors (189836308800).

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

49293921600 is a wasteful number, since it uses less digits than its factorization.

49293921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 49293921600 in words is "forty-nine billion, two hundred ninety-three million, nine hundred twenty-one thousand, six hundred".