48130719436800 has 9360 divisors, whose sum is σ = 263618653326336. Its totient is φ = 8408530944000.

The previous prime is 48130719436759. The next prime is 48130719436841. The reversal of 48130719436800 is 863491703184.

48130719436800 is a `hidden beast` number, since 4 + 8 + 130 + 71 + 9 + 436 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48130719436759) and next prime (48130719436841).

It is a tau number, because it is divible by the number of its divisors (9360).

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 719 ways as a sum of consecutive naturals, for example, 1552603852785 + ... + 1552603852815.

Almost surely, 2^{48130719436800} is an apocalyptic number.

48130719436800 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 48130719436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131809326663168).

48130719436800 is an abundant number, since it is smaller than the sum of its proper divisors (215487933889536).

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

48130719436800 is a wasteful number, since it uses less digits than its factorization.

48130719436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 48130719436800 in words is "forty-eight trillion, one hundred thirty billion, seven hundred nineteen million, four hundred thirty-six thousand, eight hundred".