35748045083520 has 2016 divisors, whose sum is σ = 163845696452760. Its totient is φ = 7427590410240.

The previous prime is 35748045083519. The next prime is 35748045083599. The reversal of 35748045083520 is 2538054084753.

35748045083520 is a `hidden beast` number, since 3 + 5 + 7 + 4 + 80 + 4 + 508 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 251 ways as a sum of consecutive naturals, for example, 2766227779 + ... + 2766240701.

Almost surely, 2^{35748045083520} is an apocalyptic number.

35748045083520 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 35748045083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81922848226380).

35748045083520 is an abundant number, since it is smaller than the sum of its proper divisors (128097651369240).

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

35748045083520 is a wasteful number, since it uses less digits than its factorization.

35748045083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996 (or 12951 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 35748045083520 in words is "thirty-five trillion, seven hundred forty-eight billion, forty-five million, eighty-three thousand, five hundred twenty".