49542052560 has 960 divisors, whose sum is σ = 214880532480. Its totient is φ = 9158123520.

The previous prime is 49542052529. The next prime is 49542052561. The reversal of 49542052560 is 6525024594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49542052561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90570207 + ... + 90570753.

It is an arithmetic number, because the mean of its divisors is an integer number (223833888).

Almost surely, 2^49542052560 is an apocalyptic number.

49542052560 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 49542052560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107440266240).

49542052560 is an abundant number, since it is smaller than the sum of its proper divisors (165338479920).

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

49542052560 is a wasteful number, since it uses less digits than its factorization.

49542052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 49542052560 in words is "forty-nine billion, five hundred forty-two million, fifty-two thousand, five hundred sixty".