48157986240 has 1120 divisors, whose sum is σ = 223426836864. Its totient is φ = 9555148800.

The previous prime is 48157986221. The next prime is 48157986259. The reversal of 48157986240 is 4268975184.

It is a happy number.

48157986240 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 7 + 9 + 8 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48157986221) and next prime (48157986259).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40097640 + ... + 40098840.

Almost surely, 2^48157986240 is an apocalyptic number.

48157986240 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 48157986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111713418432).

48157986240 is an abundant number, since it is smaller than the sum of its proper divisors (175268850624).

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

48157986240 is a wasteful number, since it uses less digits than its factorization.

48157986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48157986240 in words is "forty-eight billion, one hundred fifty-seven million, nine hundred eighty-six thousand, two hundred forty".