38451051520 has 352 divisors, whose sum is σ = 112511766528. Its totient is φ = 12308447232.

The previous prime is 38451051493. The next prime is 38451051539. The reversal of 38451051520 is 2515015483.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135869299 + ... + 135869581.

Almost surely, 2^38451051520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38451051520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56255883264).

38451051520 is an abundant number, since it is smaller than the sum of its proper divisors (74060715008).

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

38451051520 is a wasteful number, since it uses less digits than its factorization.

38451051520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 38451051520 in words is "thirty-eight billion, four hundred fifty-one million, fifty-one thousand, five hundred twenty".