120093387783534 has 768 divisors, whose sum is σ = 320039868825600. Its totient is φ = 33243094241280.

The previous prime is 120093387783517. The next prime is 120093387783563. The reversal of 120093387783534 is 435387783390021.

120093387783534 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 93 + 3 + 8 + 7 + 7 + 8 + 3 + 534 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 208134120654 + ... + 208134121230.

It is an arithmetic number, because the mean of its divisors is an integer number (416718579200).

Almost surely, 2^{120093387783534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120093387783534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160019934412800).

120093387783534 is an abundant number, since it is smaller than the sum of its proper divisors (199946481042066).

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

120093387783534 is a wasteful number, since it uses less digits than its factorization.

120093387783534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 120093387783534 in words is "one hundred twenty trillion, ninety-three billion, three hundred eighty-seven million, seven hundred eighty-three thousand, five hundred thirty-four".