48272790182400 has 2160 divisors, whose sum is σ = 204577772256000. Its totient is φ = 10647679795200.

The previous prime is 48272790182339. The next prime is 48272790182417. The reversal of 48272790182400 is 428109727284.

48272790182400 is a `hidden beast` number, since 4 + 8 + 2 + 72 + 7 + 90 + 1 + 82 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 201978201481 + ... + 201978201719.

It is an arithmetic number, because the mean of its divisors is an integer number (94711931600).

Almost surely, 2^{48272790182400} is an apocalyptic number.

48272790182400 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 48272790182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102288886128000).

48272790182400 is an abundant number, since it is smaller than the sum of its proper divisors (156304982073600).

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

48272790182400 is a wasteful number, since it uses less digits than its factorization.

48272790182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 48272790182400 in words is "forty-eight trillion, two hundred seventy-two billion, seven hundred ninety million, one hundred eighty-two thousand, four hundred".