48072487392000 has 2304 divisors, whose sum is σ = 196685263756800. Its totient is φ = 11510769254400.

The previous prime is 48072487391977. The next prime is 48072487392023. The reversal of 48072487392000 is 29378427084.

It is a happy number.

48072487392000 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 248 + 7 + 392 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48072487391977) and next prime (48072487392023).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×48072487392000³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28803167166 + ... + 28803168834.

It is an arithmetic number, because the mean of its divisors is an integer number (85366867950).

Almost surely, 2^{48072487392000} is an apocalyptic number.

48072487392000 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 48072487392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98342631878400).

48072487392000 is an abundant number, since it is smaller than the sum of its proper divisors (148612776364800).

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

48072487392000 is a wasteful number, since it uses less digits than its factorization.

48072487392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 48072487392000 in words is "forty-eight trillion, seventy-two billion, four hundred eighty-seven million, three hundred ninety-two thousand".