2011500795150 has 384 divisors, whose sum is σ = 6995850808320. Its totient is φ = 417972441600.

The previous prime is 2011500795133. The next prime is 2011500795167. The reversal of 2011500795150 is 515970051102.

2011500795150 is a `hidden beast` number, since 2 + 0 + 11 + 500 + 7 + 95 + 1 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (2011500795133) and next prime (2011500795167).

It is a super-2 number, since 2×2011500795150² (a number of 25 digits) contains 22 as substring.

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, 8300502 + ... + 8539398.

It is an arithmetic number, because the mean of its divisors is an integer number (18218361480).

Almost surely, 2^{2011500795150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011500795150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497925404160).

2011500795150 is an abundant number, since it is smaller than the sum of its proper divisors (4984350013170).

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

2011500795150 is a wasteful number, since it uses less digits than its factorization.

2011500795150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238948 (or 238925 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 36.

The spelling of 2011500795150 in words is "two trillion, eleven billion, five hundred million, seven hundred ninety-five thousand, one hundred fifty".