48972779520 has 312 divisors, whose sum is σ = 182287625184. Its totient is φ = 11193090048.

The previous prime is 48972779519. The next prime is 48972779521. The reversal of 48972779520 is 2597727984.

It is an interprime number because it is at equal distance from previous prime (48972779519) and next prime (48972779521).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48972779521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3002427 + ... + 3018693.

Almost surely, 2^48972779520 is an apocalyptic number.

48972779520 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 48972779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91143812592).

48972779520 is an abundant number, since it is smaller than the sum of its proper divisors (133314845664).

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

48972779520 is a wasteful number, since it uses less digits than its factorization.

48972779520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16284 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 60.

The spelling of 48972779520 in words is "forty-eight billion, nine hundred seventy-two million, seven hundred seventy-nine thousand, five hundred twenty".