972355153770 has 576 divisors, whose sum is σ = 3460613030784. Its totient is φ = 186203888640.

The previous prime is 972355153729. The next prime is 972355153787. The reversal of 972355153770 is 77351553279.

It is a happy number.

972355153770 is a `hidden beast` number, since 9 + 7 + 2 + 35 + 5 + 1 + 537 + 70 = 666.

972355153770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 708196804 + ... + 708198176.

It is an arithmetic number, because the mean of its divisors is an integer number (6008008734).

Almost surely, 2^972355153770 is an apocalyptic number.

972355153770 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 972355153770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730306515392).

972355153770 is an abundant number, since it is smaller than the sum of its proper divisors (2488257877014).

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

972355153770 is a wasteful number, since it uses less digits than its factorization.

972355153770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 972355153770 in words is "nine hundred seventy-two billion, three hundred fifty-five million, one hundred fifty-three thousand, seven hundred seventy".