48655021977600 has 624 divisors, whose sum is σ = 169464356503680. Its totient is φ = 12282259046400.

The previous prime is 48655021977571. The next prime is 48655021977607. The reversal of 48655021977600 is 677912055684.

It is a happy number.

It is a super-2 number, since 2×48655021977600² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48655021977607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10371991255 + ... + 10371995945.

Almost surely, 2^{48655021977600} is an apocalyptic number.

48655021977600 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 48655021977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84732178251840).

48655021977600 is an abundant number, since it is smaller than the sum of its proper divisors (120809334526080).

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

48655021977600 is a wasteful number, since it uses less digits than its factorization.

48655021977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 48655021977600 in words is "forty-eight trillion, six hundred fifty-five billion, twenty-one million, nine hundred seventy-seven thousand, six hundred".