10010511878640 has 640 divisors, whose sum is σ = 40474909440000. Its totient is φ = 1986182774784.

The previous prime is 10010511878639. The next prime is 10010511878687. The reversal of 10010511878640 is 4687811501001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10010511878592 and 10010511878601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463717927 + ... + 463739513.

It is an arithmetic number, because the mean of its divisors is an integer number (63242046000).

Almost surely, 2^{10010511878640} is an apocalyptic number.

10010511878640 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 10010511878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237454720000).

10010511878640 is an abundant number, since it is smaller than the sum of its proper divisors (30464397561360).

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

10010511878640 is a wasteful number, since it uses less digits than its factorization.

10010511878640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22889 (or 22883 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 42.

The spelling of 10010511878640 in words is "ten trillion, ten billion, five hundred eleven million, eight hundred seventy-eight thousand, six hundred forty".