48774862400 has 168 divisors, whose sum is σ = 132724269984. Its totient is φ = 17492889600.

The previous prime is 48774862373. The next prime is 48774862427. The reversal of 48774862400 is 426847784.

It is an interprime number because it is at equal distance from previous prime (48774862373) and next prime (48774862427).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265819 + ... + 1303781.

Almost surely, 2^48774862400 is an apocalyptic number.

48774862400 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 48774862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66362134992).

48774862400 is an abundant number, since it is smaller than the sum of its proper divisors (83949407584).

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

48774862400 is a wasteful number, since it uses less digits than its factorization.

48774862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38069 (or 38054 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 50.

The spelling of 48774862400 in words is "forty-eight billion, seven hundred seventy-four million, eight hundred sixty-two thousand, four hundred".