48972840000 has 560 divisors, whose sum is σ = 186668347008. Its totient is φ = 11096064000.

The previous prime is 48972839987. The next prime is 48972840001. The reversal of 48972840000 is 4827984.

It is a tau number, because it is divible by the number of its divisors (560).

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 (48972840001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145319832 + ... + 145320168.

Almost surely, 2^48972840000 is an apocalyptic number.

48972840000 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 48972840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93334173504).

48972840000 is an abundant number, since it is smaller than the sum of its proper divisors (137695507008).

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

48972840000 is a wasteful number, since it uses less digits than its factorization.

48972840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 48972840000 in words is "forty-eight billion, nine hundred seventy-two million, eight hundred forty thousand".