10501148612640 has 1152 divisors, whose sum is σ = 40329699379200. Its totient is φ = 2287502622720.

The previous prime is 10501148612627. The next prime is 10501148612657. The reversal of 10501148612640 is 4621684110501.

It is a super-2 number, since 2×10501148612640² (a number of 27 digits) contains 22 as substring.

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, 18199564032 + ... + 18199564608.

It is an arithmetic number, because the mean of its divisors is an integer number (35008419600).

Almost surely, 2^{10501148612640} is an apocalyptic number.

10501148612640 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 10501148612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20164849689600).

10501148612640 is an abundant number, since it is smaller than the sum of its proper divisors (29828550766560).

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

10501148612640 is a wasteful number, since it uses less digits than its factorization.

10501148612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 10501148612640 in words is "ten trillion, five hundred one billion, one hundred forty-eight million, six hundred twelve thousand, six hundred forty".