48492567108000 has 480 divisors, whose sum is σ = 179342698062528. Its totient is φ = 12832627392000.

The previous prime is 48492567107893. The next prime is 48492567108001. The reversal of 48492567108000 is 80176529484.

It is a happy number.

48492567108000 is a `hidden beast` number, since 4 + 8 + 492 + 5 + 6 + 71 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (48492567108001) 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, 41872747 + ... + 43015253.

Almost surely, 2^{48492567108000} is an apocalyptic number.

48492567108000 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 48492567108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89671349031264).

48492567108000 is an abundant number, since it is smaller than the sum of its proper divisors (130850130954528).

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

48492567108000 is a wasteful number, since it uses less digits than its factorization.

48492567108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142675 (or 1142648 counting only the distinct ones).

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

The spelling of 48492567108000 in words is "forty-eight trillion, four hundred ninety-two billion, five hundred sixty-seven million, one hundred eight thousand".