975750114240 has 896 divisors, whose sum is σ = 3816076492800. Its totient is φ = 232742522880.

The previous prime is 975750114239. The next prime is 975750114271. The reversal of 975750114240 is 42411057579.

975750114240 is a `hidden beast` number, since 97 + 5 + 7 + 501 + 14 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2574538371 + ... + 2574538749.

Almost surely, 2^975750114240 is an apocalyptic number.

975750114240 is a gapful number since it is divisible by the number (90) 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 975750114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908038246400).

975750114240 is an abundant number, since it is smaller than the sum of its proper divisors (2840326378560).

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

975750114240 is a wasteful number, since it uses less digits than its factorization.

975750114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 975750114240 in words is "nine hundred seventy-five billion, seven hundred fifty million, one hundred fourteen thousand, two hundred forty".