970990917120 has 1280 divisors, whose sum is σ = 4109274132480. Its totient is φ = 212697612288.

The previous prime is 970990917101. The next prime is 970990917121. The reversal of 970990917120 is 21719099079.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×970990917120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970990917121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1306851469 + ... + 1306852211.

It is an arithmetic number, because the mean of its divisors is an integer number (3210370416).

Almost surely, 2^970990917120 is an apocalyptic number.

970990917120 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 970990917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054637066240).

970990917120 is an abundant number, since it is smaller than the sum of its proper divisors (3138283215360).

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

970990917120 is a wasteful number, since it uses less digits than its factorization.

970990917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 54.

The spelling of 970990917120 in words is "nine hundred seventy billion, nine hundred ninety million, nine hundred seventeen thousand, one hundred twenty".