1011697152000 has 416 divisors, whose sum is σ = 3475278004224. Its totient is φ = 261070848000.

The previous prime is 1011697151929. The next prime is 1011697152007. The reversal of 1011697152000 is 2517961101.

It is a super-2 number, since 2×1011697152000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011697152007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47605377 + ... + 47626623.

It is an arithmetic number, because the mean of its divisors is an integer number (8354033664).

Almost surely, 2^{1011697152000} is an apocalyptic number.

1011697152000 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 1011697152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737639002112).

1011697152000 is an abundant number, since it is smaller than the sum of its proper divisors (2463580852224).

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

1011697152000 is an equidigital number, since it uses as much as digits as its factorization.

1011697152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21320 (or 21288 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 33.

The spelling of 1011697152000 in words is "one trillion, eleven billion, six hundred ninety-seven million, one hundred fifty-two thousand".