1011761628700 has 36 divisors (see below), whose sum is σ = 2195683668640. Its totient is φ = 404674986240.

The previous prime is 1011761628637. The next prime is 1011761628701. The reversal of 1011761628700 is 78261671101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011761628701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1026436 + ... + 1754164.

Almost surely, 2^{1011761628700} is an apocalyptic number.

1011761628700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011761628700 is an abundant number, since it is smaller than the sum of its proper divisors (1183922039940).

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

1011761628700 is a wasteful number, since it uses less digits than its factorization.

1011761628700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741646 (or 741639 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

It can be divided in two parts, 1011761 and 628700, that added together give a palindrome (1640461).

The spelling of 1011761628700 in words is "one trillion, eleven billion, seven hundred sixty-one million, six hundred twenty-eight thousand, seven hundred".