38199699083520 has 3456 divisors, whose sum is σ = 169048172966400. Its totient is φ = 8069132058624.

The previous prime is 38199699083477. The next prime is 38199699083531. The reversal of 38199699083520 is 2538099699183.

It is a happy number.

38199699083520 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 9 + 6 + 9 + 90 + 8 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122043766884 + ... + 122043767196.

It is an arithmetic number, because the mean of its divisors is an integer number (48914401900).

Almost surely, 2^{38199699083520} is an apocalyptic number.

38199699083520 is a gapful number since it is divisible by the number (30) 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 38199699083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84524086483200).

38199699083520 is an abundant number, since it is smaller than the sum of its proper divisors (130848473882880).

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

38199699083520 is a wasteful number, since it uses less digits than its factorization.

38199699083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 38199699083520 in words is "thirty-eight trillion, one hundred ninety-nine billion, six hundred ninety-nine million, eighty-three thousand, five hundred twenty".