35575104428640 has 1152 divisors, whose sum is σ = 145953638208000. Its totient is φ = 8069222633472.

The previous prime is 35575104428621. The next prime is 35575104428657. The reversal of 35575104428640 is 4682440157553.

35575104428640 is a `hidden beast` number, since 3 + 5 + 5 + 7 + 510 + 4 + 4 + 2 + 86 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 32548127934 + ... + 32548129026.

It is an arithmetic number, because the mean of its divisors is an integer number (126695866500).

Almost surely, 2^{35575104428640} is an apocalyptic number.

35575104428640 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 35575104428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72976819104000).

35575104428640 is an abundant number, since it is smaller than the sum of its proper divisors (110378533779360).

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

35575104428640 is a wasteful number, since it uses less digits than its factorization.

35575104428640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2148 counting only the distinct ones).

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

The spelling of 35575104428640 in words is "thirty-five trillion, five hundred seventy-five billion, one hundred four million, four hundred twenty-eight thousand, six hundred forty".