10135756800 has 840 divisors, whose sum is σ = 41296169376. Its totient is φ = 2441871360.

The previous prime is 10135756789. The next prime is 10135756823. The reversal of 10135756800 is 865753101.

10135756800 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 575 + 6 + 80 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 215654377 + ... + 215654423.

Almost surely, 2^10135756800 is an apocalyptic number.

10135756800 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 10135756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648084688).

10135756800 is an abundant number, since it is smaller than the sum of its proper divisors (31160412576).

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

10135756800 is an equidigital number, since it uses as much as digits as its factorization.

10135756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10135756800 in words is "ten billion, one hundred thirty-five million, seven hundred fifty-six thousand, eight hundred".