10035157352220 has 1152 divisors, whose sum is σ = 44330636593152. Its totient is φ = 1767392870400.

The previous prime is 10035157352197. The next prime is 10035157352251. The reversal of 10035157352220 is 2225375153001.

10035157352220 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 515 + 73 + 52 + 2 + 20 = 666.

It is a super-2 number, since 2×10035157352220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 125545507 + ... + 125625413.

It is an arithmetic number, because the mean of its divisors is an integer number (38481455376).

Almost surely, 2^{10035157352220} is an apocalyptic number.

10035157352220 is a gapful number since it is divisible by the number (10) 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 10035157352220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165318296576).

10035157352220 is an abundant number, since it is smaller than the sum of its proper divisors (34295479240932).

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

10035157352220 is a wasteful number, since it uses less digits than its factorization.

10035157352220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80011 (or 80006 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 10035157352220 in words is "ten trillion, thirty-five billion, one hundred fifty-seven million, three hundred fifty-two thousand, two hundred twenty".